Question

To sail directly north at 32 knots

score 67 · Answer 1 · 2026-04-13 18:10:21

67

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To sail directly north at 32 knots

Published on 13 Apr 2026 - 18:10

score 74 · Answer 2 · 2026-04-16 01:28:29

74

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Vectors $a$ and $b$ each have length $6$ and form an angle of $45°$ . Let $u = a + 2b$ and $v = 2a - b$. What is the angle formed by $u$ and $v$?

Published on 16 Apr 2026 - 1:28

score 75 · Answer 3 · 2026-04-16 02:03:55

75

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If $a=(12,5)$ and $b=(6,8)$ give two orthogonal vectors $U_1$ and $U_2$ such that $U_1$ lies in $a$ and $U_1+U_2=b$

Published on 16 Apr 2026 - 2:03

score 46 · Answer 4 · 2026-04-11 18:58:46

46

Views

Angle between given planes

Published on 11 Apr 2026 - 18:58

score 96 · Answer 5 · 2026-04-12 07:07:21

96

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Relation between $\|\operatorname{proj}_P(u)\|$ and $\|u \times v\|$ where $v$ is the normal to $P$

Published on 12 Apr 2026 - 7:07

score 3.7k · Answer 6 · 2026-04-11 20:33:30

3.7k

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Find Equation of a Third Plane Which Interacts With Two Given Planes

Published on 11 Apr 2026 - 20:33

score 2.4k · Answer 7 · 2026-04-13 15:44:38

2.4k

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Element-wise differentiation of a unit-normalized vector

Published on 13 Apr 2026 - 15:44

score 30 · Answer 8 · 2026-04-09 18:57:44

30

Views

How do I calculate the position of the Earth in a 3d engine?

Published on 09 Apr 2026 - 18:57

score 40 · Answer 9 · 2026-04-09 17:13:06

40

Views

Manipulation of orthogonal vectors under a rotation in 3D space

Published on 09 Apr 2026 - 17:13

score 85 · Answer 10 · 2026-04-12 07:18:20

85

Views

Clarify please the following problem

Published on 12 Apr 2026 - 7:18

score 1.6k · Answer 11 · 2026-04-13 01:34:43

1.6k

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Shortest distance from z-axis to given lines

Published on 13 Apr 2026 - 1:34

score 60 · Answer 12 · 2026-04-12 02:22:21

60

Views

How do I prove these vectors are linearly independent?

Published on 12 Apr 2026 - 2:22

score 2k · Answer 13 · 2026-04-14 18:03:07

2k

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Find a plane that is parallel with $z$-axis and the line $r = (\lambda+ 1, \lambda - 1, 1 -\lambda)$, passes through $A(-2, 3, 0)$.

Published on 14 Apr 2026 - 18:03

score 5.6k · Answer 14 · 2026-04-16 22:57:14

5.6k

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Sketch the vector equation:$ r(t) = (2\cos(t), 2\sin(t), 1)$

Published on 16 Apr 2026 - 22:57

score 83 · Answer 15 · 2026-04-11 23:36:55

83

Views

Stokes theorem question: finding the right modeling approach and choosing between polar and cartesian coordinates

Published on 11 Apr 2026 - 23:36

List Question

To sail directly north at 32 knots

Vectors $a$ and $b$ each have length $6$ and form an angle of $45°$ . Let $u = a + 2b$ and $v = 2a - b$. What is the angle formed by $u$ and $v$?

If $a=(12,5)$ and $b=(6,8)$ give two orthogonal vectors $U_1$ and $U_2$ such that $U_1$ lies in $a$ and $U_1+U_2=b$

Angle between given planes

Relation between $\|\operatorname{proj}_P(u)\|$ and $\|u \times v\|$ where $v$ is the normal to $P$

Find Equation of a Third Plane Which Interacts With Two Given Planes

Element-wise differentiation of a unit-normalized vector

How do I calculate the position of the Earth in a 3d engine?

Manipulation of orthogonal vectors under a rotation in 3D space

Clarify please the following problem

Shortest distance from z-axis to given lines

How do I prove these vectors are linearly independent?

Find a plane that is parallel with $z$-axis and the line $r = (\lambda+ 1, \lambda - 1, 1 -\lambda)$, passes through $A(-2, 3, 0)$.

Sketch the vector equation:$ r(t) = (2\cos(t), 2\sin(t), 1)$

Stokes theorem question: finding the right modeling approach and choosing between polar and cartesian coordinates

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