#vectors search results

The vector equation of a line passing through point A with position vector ๐€ and parallel to ๐ can be written as: (๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ Since any point R on the line satisfies ๐‘ โˆ’ ๐€ โˆฅ ๐, their cross product is zero. Expanding gives: ๐‘ ร— ๐ = ๐€ ร— ๐ #vectors

mathsproofs's tweet image. The vector equation of a line passing through point A with position vector ๐€ and parallel to ๐ can be written as:

(๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ

Since any point R on the line satisfies ๐‘ โˆ’ ๐€ โˆฅ ๐, their cross product is zero.

Expanding gives:

๐‘ ร— ๐ = ๐€ ร— ๐

#vectors

Area of a parallelogram = base ร— height = |๐€||๐|sinฮธ #vectors #crossproduct

mathsproofs's tweet image. Area of a parallelogram = base ร— height = |๐€||๐|sinฮธ

#vectors #crossproduct
mathsproofs's tweet image. Area of a parallelogram = base ร— height = |๐€||๐|sinฮธ

#vectors #crossproduct

Deriving the projection matrices step-by-step. T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space. T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page. Together they form the complete 4D โ†’ 2D projection system. #dimensions #vectors #pythagram #tesseract

mathsproofs's tweet image. Deriving the projection matrices step-by-step.

T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space.

T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page.

Together they form the complete 4D โ†’ 2D projection system.

#dimensions #vectors #pythagram #tesseract
mathsproofs's tweet image. Deriving the projection matrices step-by-step.

T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space.

T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page.

Together they form the complete 4D โ†’ 2D projection system.

#dimensions #vectors #pythagram #tesseract
mathsproofs's tweet image. Deriving the projection matrices step-by-step.

T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space.

T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page.

Together they form the complete 4D โ†’ 2D projection system.

#dimensions #vectors #pythagram #tesseract

๐Ÿคฉ #Pole #Vectors can be tricky in @UnrealEngine , but mastering them boosts your #rigging & #animation game! Learn how to: ๐Ÿ”น Set them up with #IK solvers ๐Ÿ”น Automate placement with #Compute #PoleVector ๐Ÿ”น Use #Nulls, #Constraints & #SpaceSwitching ๐ŸŽฅ youtu.be/8E4WOIWnenU


Scalar triple product: A ยท (B ร— C) gives the volume of the parallelepiped formed by A, B, and C. #vectors #alevelmaths #furthermaths

mathsproofs's tweet image. Scalar triple product: A ยท (B ร— C) gives the volume of the parallelepiped formed by A, B, and C.

#vectors #alevelmaths #furthermaths
mathsproofs's tweet image. Scalar triple product: A ยท (B ร— C) gives the volume of the parallelepiped formed by A, B, and C.

#vectors #alevelmaths #furthermaths

In many cases, the dot product of two vectors can be visualised. You can imagine there are 'negative areas' as well, if you really want to get a visual sense of what is happening. It certainly is possible to 'see' the dot product. #vectors #dotproduct

mathsproofs's tweet image. In many cases, the dot product of two vectors can be visualised. You can imagine there are 'negative areas' as well, if you really want to get a visual sense of what is happening.

It certainly is possible to 'see' the dot product.

#vectors #dotproduct

Converting the vector equation of a line, (๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ, into its Cartesian form by substituting coordinates and showing it leads to: (๐‘ฅ โˆ’ ๐‘ฅโ‚)/๐‘™ = (๐‘ฆ โˆ’ ๐‘ฆโ‚)/๐‘š = (๐‘ง โˆ’ ๐‘งโ‚)/๐‘› #vectors #alevelmaths #crossproduct

mathsproofs's tweet image. Converting the vector equation of a line, (๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ, into its Cartesian form by substituting coordinates and showing it leads to:

(๐‘ฅ โˆ’ ๐‘ฅโ‚)/๐‘™ = (๐‘ฆ โˆ’ ๐‘ฆโ‚)/๐‘š = (๐‘ง โˆ’ ๐‘งโ‚)/๐‘›

#vectors #alevelmaths #crossproduct

The point of the centroid of the equilateral triangle trapped within a unit cube. 1/3(1, 1, 1) #visualmath #vectors

mathsproofs's tweet image. The point of the centroid of the equilateral triangle trapped within a unit cube.

1/3(1, 1, 1)

#visualmath #vectors

Integrals of Vector Functions youtu.be/28IH34obx8I In this video I go over integrals for vector functions and show that we can evaluate it by integrating each component function. #math #vectors #calculus #integrals #education

MathEasySolns's tweet image. Integrals of Vector Functions youtu.be/28IH34obx8I

In this video I go over integrals for vector functions and show that we can evaluate it by integrating each component function.

#math #vectors #calculus #integrals #education

Proof of Formula 4: Derivative of Dot Product of Vector Functions youtu.be/WwRjxzFKnu0 In this video I derive the 4th differentiation rule for vector functions, which involves taking the derivative of the dot product between two vector functions and yields a similar result asโ€ฆ

MathEasySolns's tweet image. Proof of Formula 4: Derivative of Dot Product of Vector Functions youtu.be/WwRjxzFKnu0

In this video I derive the 4th differentiation rule for vector functions, which involves taking the derivative of the dot product between two vector functions and yields a similar result asโ€ฆ


โ™ฆ๏ธ๐Ÿ‘๏ธ 3:4:5 Magic, A Perceptual Experiment, Finalised, 28.09.2025. #pythagorastheorem #vectors #opticalillusion

mathsproofs's tweet image. โ™ฆ๏ธ๐Ÿ‘๏ธ 3:4:5 Magic, A Perceptual Experiment, Finalised, 28.09.2025.

#pythagorastheorem #vectors #opticalillusion

I'm loving the new poses sooo much... the 125-Vector Pack is COMIIIING #mlp #vectors

ArtOfSMW's tweet image. I'm loving the new poses sooo much...
the 125-Vector Pack is COMIIIING
#mlp #vectors

Essential vector space language. #vectors #3D

mathsproofs's tweet image. Essential vector space language.

#vectors #3D

Killing three birds off with one stone. ๐Ÿฆ Deriving the area of a triangle, the cosine rule and dot product in one swoop, using vectors. #alevelmaths #vectors #cosinerule #dotproduct #freestyle

mathsproofs's tweet image. Killing three birds off with one stone. ๐Ÿฆ

Deriving the area of a triangle, the cosine rule and dot product in one swoop, using vectors.

#alevelmaths #vectors #cosinerule #dotproduct #freestyle
mathsproofs's tweet image. Killing three birds off with one stone. ๐Ÿฆ

Deriving the area of a triangle, the cosine rule and dot product in one swoop, using vectors.

#alevelmaths #vectors #cosinerule #dotproduct #freestyle

Centroid of a triangle found using vectors, half a square, and a transformation T:Rยณโ†’Rยฒ. The result: G = โ…“(A + B + C). #vectors #geometry #math

mathsproofs's tweet image. Centroid of a triangle found using vectors, half a square, and a transformation T:Rยณโ†’Rยฒ.

The result: G = โ…“(A + B + C). 

#vectors #geometry #math

Vectors: The standard basis vectors in 3D explained using definitions and visuals. #vectors #visuallearning

mathsproofs's tweet image. Vectors: The standard basis vectors in 3D explained using definitions and visuals.

#vectors #visuallearning

Defining your own space.โ™ฆ๏ธ๐Ÿ‘๏ธ #vectors #parallelogram #pythagorastheorem

mathsproofs's tweet image. Defining your own space.โ™ฆ๏ธ๐Ÿ‘๏ธ

#vectors #parallelogram #pythagorastheorem

Computer graphics: A primer for cross product calculations. #vectors #crossproduct

mathsproofs's tweet image. Computer graphics: A primer for cross product calculations.

#vectors #crossproduct
mathsproofs's tweet image. Computer graphics: A primer for cross product calculations.

#vectors #crossproduct
mathsproofs's tweet image. Computer graphics: A primer for cross product calculations.

#vectors #crossproduct

โœˆ๏ธ 100 pixel-perfect line icons for UI, infographics & travel apps โ€” clean, minimal & available in all popular formats. Grab them now at icanotic.com #Icanotic #Icons #Vectors #IconSet #UIDesign #DigitalAssets #CreativeTools #GraphicDesign

icanotics's tweet image. โœˆ๏ธ 100 pixel-perfect line icons for UI, infographics & travel apps โ€” clean, minimal & available in all popular formats. Grab them now at icanotic.com #Icanotic #Icons #Vectors #IconSet #UIDesign #DigitalAssets #CreativeTools #GraphicDesign

๐Ÿฆ New Special Issue: Interactions Between Parasites/Pathogens and Vectors, Second Edition ๐Ÿ‘”Guest Editors: Prof. Dr. Norman Ratcliffe and Prof. Dr. Gรผnter A. Schaub ๐Ÿ—“๏ธSubmission Deadline: 30 June 2026 ๐Ÿ”—Read more: mdpi.com/journal/microoโ€ฆ #arboviruses #vectors #insects

Micro_MDPI's tweet image. ๐Ÿฆ New Special Issue: Interactions Between Parasites/Pathogens and Vectors, Second Edition

๐Ÿ‘”Guest Editors: Prof. Dr. Norman Ratcliffe and Prof. Dr. Gรผnter A. Schaub

๐Ÿ—“๏ธSubmission Deadline: 30 June 2026

๐Ÿ”—Read more: mdpi.com/journal/microoโ€ฆ

#arboviruses #vectors #insects

Area of a parallelogram = base ร— height = |๐€||๐|sinฮธ #vectors #crossproduct

mathsproofs's tweet image. Area of a parallelogram = base ร— height = |๐€||๐|sinฮธ

#vectors #crossproduct
mathsproofs's tweet image. Area of a parallelogram = base ร— height = |๐€||๐|sinฮธ

#vectors #crossproduct

The point of the centroid of the equilateral triangle trapped within a unit cube. 1/3(1, 1, 1) #visualmath #vectors

mathsproofs's tweet image. The point of the centroid of the equilateral triangle trapped within a unit cube.

1/3(1, 1, 1)

#visualmath #vectors

The vector equation of a line passing through point A with position vector ๐€ and parallel to ๐ can be written as: (๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ Since any point R on the line satisfies ๐‘ โˆ’ ๐€ โˆฅ ๐, their cross product is zero. Expanding gives: ๐‘ ร— ๐ = ๐€ ร— ๐ #vectors

mathsproofs's tweet image. The vector equation of a line passing through point A with position vector ๐€ and parallel to ๐ can be written as:

(๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ

Since any point R on the line satisfies ๐‘ โˆ’ ๐€ โˆฅ ๐, their cross product is zero.

Expanding gives:

๐‘ ร— ๐ = ๐€ ร— ๐

#vectors

I'm loving the new poses sooo much... the 125-Vector Pack is COMIIIING #mlp #vectors

ArtOfSMW's tweet image. I'm loving the new poses sooo much...
the 125-Vector Pack is COMIIIING
#mlp #vectors

Scalar triple product: A ยท (B ร— C) gives the volume of the parallelepiped formed by A, B, and C. #vectors #alevelmaths #furthermaths

mathsproofs's tweet image. Scalar triple product: A ยท (B ร— C) gives the volume of the parallelepiped formed by A, B, and C.

#vectors #alevelmaths #furthermaths
mathsproofs's tweet image. Scalar triple product: A ยท (B ร— C) gives the volume of the parallelepiped formed by A, B, and C.

#vectors #alevelmaths #furthermaths

Killing three birds off with one stone. ๐Ÿฆ Deriving the area of a triangle, the cosine rule and dot product in one swoop, using vectors. #alevelmaths #vectors #cosinerule #dotproduct #freestyle

mathsproofs's tweet image. Killing three birds off with one stone. ๐Ÿฆ

Deriving the area of a triangle, the cosine rule and dot product in one swoop, using vectors.

#alevelmaths #vectors #cosinerule #dotproduct #freestyle
mathsproofs's tweet image. Killing three birds off with one stone. ๐Ÿฆ

Deriving the area of a triangle, the cosine rule and dot product in one swoop, using vectors.

#alevelmaths #vectors #cosinerule #dotproduct #freestyle

Converting the vector equation of a line, (๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ, into its Cartesian form by substituting coordinates and showing it leads to: (๐‘ฅ โˆ’ ๐‘ฅโ‚)/๐‘™ = (๐‘ฆ โˆ’ ๐‘ฆโ‚)/๐‘š = (๐‘ง โˆ’ ๐‘งโ‚)/๐‘› #vectors #alevelmaths #crossproduct

mathsproofs's tweet image. Converting the vector equation of a line, (๐‘ โˆ’ ๐€) ร— ๐ = ๐ŸŽ, into its Cartesian form by substituting coordinates and showing it leads to:

(๐‘ฅ โˆ’ ๐‘ฅโ‚)/๐‘™ = (๐‘ฆ โˆ’ ๐‘ฆโ‚)/๐‘š = (๐‘ง โˆ’ ๐‘งโ‚)/๐‘›

#vectors #alevelmaths #crossproduct

โ™ฆ๏ธ๐Ÿ‘๏ธ 3:4:5 Magic, A Perceptual Experiment, Finalised, 28.09.2025. #pythagorastheorem #vectors #opticalillusion

mathsproofs's tweet image. โ™ฆ๏ธ๐Ÿ‘๏ธ 3:4:5 Magic, A Perceptual Experiment, Finalised, 28.09.2025.

#pythagorastheorem #vectors #opticalillusion

Deriving the projection matrices step-by-step. T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space. T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page. Together they form the complete 4D โ†’ 2D projection system. #dimensions #vectors #pythagram #tesseract

mathsproofs's tweet image. Deriving the projection matrices step-by-step.

T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space.

T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page.

Together they form the complete 4D โ†’ 2D projection system.

#dimensions #vectors #pythagram #tesseract
mathsproofs's tweet image. Deriving the projection matrices step-by-step.

T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space.

T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page.

Together they form the complete 4D โ†’ 2D projection system.

#dimensions #vectors #pythagram #tesseract
mathsproofs's tweet image. Deriving the projection matrices step-by-step.

T: โ„โด โ†’ โ„ยณ (3ร—4) maps a tesseract into 3D space.

T: โ„ยณ โ†’ โ„ยฒ (2ร—3) flattens it onto the page.

Together they form the complete 4D โ†’ 2D projection system.

#dimensions #vectors #pythagram #tesseract

Centroid of a triangle found using vectors, half a square, and a transformation T:Rยณโ†’Rยฒ. The result: G = โ…“(A + B + C). #vectors #geometry #math

mathsproofs's tweet image. Centroid of a triangle found using vectors, half a square, and a transformation T:Rยณโ†’Rยฒ.

The result: G = โ…“(A + B + C). 

#vectors #geometry #math

In many cases, the dot product of two vectors can be visualised. You can imagine there are 'negative areas' as well, if you really want to get a visual sense of what is happening. It certainly is possible to 'see' the dot product. #vectors #dotproduct

mathsproofs's tweet image. In many cases, the dot product of two vectors can be visualised. You can imagine there are 'negative areas' as well, if you really want to get a visual sense of what is happening.

It certainly is possible to 'see' the dot product.

#vectors #dotproduct

Essential vector space language. #vectors #3D

mathsproofs's tweet image. Essential vector space language.

#vectors #3D

Defining your own space.โ™ฆ๏ธ๐Ÿ‘๏ธ #vectors #parallelogram #pythagorastheorem

mathsproofs's tweet image. Defining your own space.โ™ฆ๏ธ๐Ÿ‘๏ธ

#vectors #parallelogram #pythagorastheorem

Computer graphics: A primer for cross product calculations. #vectors #crossproduct

mathsproofs's tweet image. Computer graphics: A primer for cross product calculations.

#vectors #crossproduct
mathsproofs's tweet image. Computer graphics: A primer for cross product calculations.

#vectors #crossproduct
mathsproofs's tweet image. Computer graphics: A primer for cross product calculations.

#vectors #crossproduct

Vectors: The standard basis vectors in 3D explained using definitions and visuals. #vectors #visuallearning

mathsproofs's tweet image. Vectors: The standard basis vectors in 3D explained using definitions and visuals.

#vectors #visuallearning

Thank you so much @ArtOfSMW! This is beautiful and stunning as always! I'm always so happy to receive a piece of your work and so thankful to know you as a person! #MLP #Vectors

XephinaThe11's tweet image. Thank you so much @ArtOfSMW! 
This is beautiful and stunning as always! I'm always so happy to receive a piece of your work and so thankful to know you as a person!
#MLP #Vectors

Today I learned an experimental Rust vector feature: extract_if โœจ ๐Ÿฆ€ Docs: doc.rust-lang.org/std/vec/structโ€ฆ ๐Ÿ‘€ Tracking issue: github.com/rust-lang/rustโ€ฆ โฌ‡๏ธ Example below: splitting an array into evens and odds, reusing the original allocation. #rustlang #vectors #language #programming

orhundev's tweet image. Today I learned an experimental Rust vector feature: extract_if โœจ

๐Ÿฆ€ Docs: doc.rust-lang.org/std/vec/structโ€ฆ

๐Ÿ‘€ Tracking issue: github.com/rust-lang/rustโ€ฆ

โฌ‡๏ธ Example below: splitting an array into evens and odds, reusing the original allocation.

#rustlang #vectors #language #programming

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