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Confused about how the gradient represents direction of maximum rate of increase

score 710 · Answer 1 · 2026-04-12 03:43:30

710

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Confused about how the gradient represents direction of maximum rate of increase

Published on 12 Apr 2026 - 3:43

score 54 · Answer 2 · 2026-04-16 06:13:35

54

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True/false? $v,w$ are vectors in $\mathbb{R}^2$. The vector $u=\left \langle v,w \right \rangle v -\left \| v \right \|^2w$ lies vertically on $v$

Published on 16 Apr 2026 - 6:13

score 33 · Answer 3 · 2026-04-14 00:27:08

33

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Find $h$ for which $\frac1{15}\mid 2\vec x-\vec y(h)\mid =1.$

Published on 14 Apr 2026 - 0:27

score 72 · Answer 4 · 2026-04-12 07:31:12

72

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How do you do this vector projection?

Published on 12 Apr 2026 - 7:31

score 133 · Answer 5 · 2026-04-14 15:53:10

133

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How is free vector a same thing as translation?

Published on 14 Apr 2026 - 15:53

score 7k · Answer 6 · 2026-04-15 23:27:53

7k

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In what sense does the unit vector $\hat{\theta}$ have length 1?

Published on 15 Apr 2026 - 23:27

score 2k · Answer 7 · 2026-04-12 18:16:59

2k

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Why is the magnitude of a Directional Derivative significant?

Published on 12 Apr 2026 - 18:16

score 75 · Answer 8 · 2026-04-10 19:44:43

75

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How to find a matrix given how it transforms some vectors

Published on 10 Apr 2026 - 19:44

score 115 · Answer 9 · 2026-04-13 16:09:41

115

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Formulating a constraint on the SUM of the magnitudes of a set of vectors in a constrained optimization

Published on 13 Apr 2026 - 16:09

score 134 · Answer 10 · 2026-04-16 17:56:43

134

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Is there an accepted terminology/notation for the vector $\langle \theta \rangle := \begin{bmatrix} \sin \theta \\ \cos \theta \end{bmatrix}$?

Published on 16 Apr 2026 - 17:56

score 159 · Answer 11 · 2026-04-10 22:32:18

159

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What is one-to-one structure-preserving correspondence?

Published on 10 Apr 2026 - 22:32

score 1.8k · Answer 12 · 2026-04-14 12:36:04

1.8k

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Why Force is called a vector quantity?

Published on 14 Apr 2026 - 12:36

score 68.5k · Answer 13 · 2026-04-14 03:05:09

68.5k

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What exactly is a basis in linear algebra?

Published on 14 Apr 2026 - 3:05

score 45 · Answer 14 · 2026-05-11 08:32:41

45

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What is the term for the result of an Euler vector?

Published on 11 May 2026 - 8:32

score 10.2k · Answer 15 · 2026-04-12 15:21:14

10.2k

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Length of Parallelogram Diagonals

Published on 12 Apr 2026 - 15:21

List Question

Confused about how the gradient represents direction of maximum rate of increase

True/false? $v,w$ are vectors in $\mathbb{R}^2$. The vector $u=\left \langle v,w \right \rangle v -\left \| v \right \|^2w$ lies vertically on $v$

Find $h$ for which $\frac1{15}\mid 2\vec x-\vec y(h)\mid =1.$

How do you do this vector projection?

How is free vector a same thing as translation?

In what sense does the unit vector $\hat{\theta}$ have length 1?

Why is the magnitude of a Directional Derivative significant?

How to find a matrix given how it transforms some vectors

Formulating a constraint on the SUM of the magnitudes of a set of vectors in a constrained optimization

Is there an accepted terminology/notation for the vector $\langle \theta \rangle := \begin{bmatrix} \sin \theta \\ \cos \theta \end{bmatrix}$?

What is one-to-one structure-preserving correspondence?

Why Force is called a vector quantity?

What exactly is a basis in linear algebra?

What is the term for the result of an Euler vector?

Length of Parallelogram Diagonals

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