Question

Find the directional derivative $∂_uf(0, 0)$ for an arbitrary vector $u = (u_1, u_2) ∈\mathbb{R^2}\setminus$ $\{(0, 0)\}.$

score 41 · Answer 1 · 2026-04-15 19:55:43

41

Views

Find the directional derivative $∂_uf(0, 0)$ for an arbitrary vector $u = (u_1, u_2) ∈\mathbb{R^2}\setminus$ $\{(0, 0)\}.$

Published on 15 Apr 2026 - 19:55

score 521 · Answer 2 · 2026-04-15 14:41:19

521

Views

Where does the formula for gradient and divergence come for curvilinear systems come from?

Published on 15 Apr 2026 - 14:41

score 255 · Answer 3 · 2026-04-14 18:56:02

255

Views

Calculate the flux of $G(x,y,z)=x(1-z)\hat{k}$ through a cube

Published on 14 Apr 2026 - 18:56

score 39 · Answer 4 · 2026-04-15 03:18:11

39

Views

Finding the Radius & Segments of a Polygonal Circle to Match a Specific Face Size

Published on 15 Apr 2026 - 3:18

score 72 · Answer 5 · 2026-04-16 03:48:00

72

Views

Vectors $v_1,v_2,v_3$ belong to vector space $\mathbb{Z}^{3}_{7}$ What's dimension of the subspace $U_7$?

Published on 16 Apr 2026 - 3:48

score 149 · Answer 6 · 2026-04-15 19:32:42

149

Views

Equations of motions for a spin interacting with a magnetic field.

Published on 15 Apr 2026 - 19:32

score 1.3k · Answer 7 · 2026-04-11 23:49:20

1.3k

Views

How to find bearing of a given object and solve the following question?

Published on 11 Apr 2026 - 23:49

score 132 · Answer 8 · 2026-04-12 06:28:12

132

Views

the amplitude of the sum of two vectors

Published on 12 Apr 2026 - 6:28

score 441 · Answer 9 · 2026-04-11 17:35:18

441

Views

Equations of motion from a vector based Lagrangian

Published on 11 Apr 2026 - 17:35

score 278 · Answer 10 · 2026-04-14 00:58:06

278

Views

Minimum distance between two moving points on a sphere

Published on 14 Apr 2026 - 0:58

score 105 · Answer 11 · 2026-04-15 08:19:46

105

Views

If S is subset of S', then lin(S) is subset of lin(S')

Published on 15 Apr 2026 - 8:19

score 278 · Answer 12 · 2026-04-16 05:36:10

278

Views

Prove that for any vector $v ∈ W$ we have $v = \frac{\langle v,v_1\rangle}{\|v_1\|^2} v_1 + \cdots + \frac{\langle v,v_n\rangle}{\|v_n\|^2} v_n$.

Published on 16 Apr 2026 - 5:36

score 524 · Answer 13 · 2026-04-16 12:40:34

524

Views

Direction of gradient and contour lines using unit vectors

Published on 16 Apr 2026 - 12:40

score 259 · Answer 14 · 2026-04-14 15:41:43

259

Views

Given a plane with point and normal, rotate the normal so that it lies in the plane.

Published on 14 Apr 2026 - 15:41

score 162 · Answer 15 · 2026-04-16 02:30:13

162

Views

If I can get a set with n vectors into reduced row echelon form, doesn't that mean that the set is a basis for Rn?

Published on 16 Apr 2026 - 2:30

List Question

Find the directional derivative $∂_uf(0, 0)$ for an arbitrary vector $u = (u_1, u_2) ∈\mathbb{R^2}\setminus$ $\{(0, 0)\}.$

Where does the formula for gradient and divergence come for curvilinear systems come from?

Calculate the flux of $G(x,y,z)=x(1-z)\hat{k}$ through a cube

Finding the Radius & Segments of a Polygonal Circle to Match a Specific Face Size

Vectors $v_1,v_2,v_3$ belong to vector space $\mathbb{Z}^{3}_{7}$ What's dimension of the subspace $U_7$?

Equations of motions for a spin interacting with a magnetic field.

How to find bearing of a given object and solve the following question?

the amplitude of the sum of two vectors

Equations of motion from a vector based Lagrangian

Minimum distance between two moving points on a sphere

If S is subset of S', then lin(S) is subset of lin(S')

Prove that for any vector $v ∈ W$ we have $v = \frac{\langle v,v_1\rangle}{\|v_1\|^2} v_1 + \cdots + \frac{\langle v,v_n\rangle}{\|v_n\|^2} v_n$.

Direction of gradient and contour lines using unit vectors

Given a plane with point and normal, rotate the normal so that it lies in the plane.

If I can get a set with n vectors into reduced row echelon form, doesn't that mean that the set is a basis for Rn?

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