List questions from vectors

Published on 25 Mar 2026 - 21:54

771

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Why does a $2×3$ matrix multiplied by a vector in $\Bbb{R}^3$ give a vector in $\Bbb{R}^2$?

Published on 08 Apr 2019 - 1:50

65

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If $\|u+tv\| \ge \|u\|$ for all $t$, prove that $u \cdot v=0$

Published on 27 Mar 2026 - 7:14

309

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Prove that Distributive law holds: $(\lambda+\mu)u=\lambda u+\mu u$ and $\lambda(u+v)=\lambda u+\lambda v$

Published on 09 Apr 2019 - 19:00

21

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Normal Vector in the place

Published on 26 Mar 2026 - 2:52

370

Views

How to write vectors in abbreviated set notation?

Published on 30 Mar 2026 - 7:05

87

Views

Resolving Cross Product Ambiguity Algebraically

Published on 25 Mar 2026 - 21:45

36

Views

Vectors and straight lines

Published on 12 Apr 2019 - 4:51

292

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Find the components of a vector?

Published on 12 Apr 2019 - 7:09

6.8k

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Prove using vectors two lines bisect each other

Published on 12 Apr 2019 - 14:10

62

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How is the following decomposition done?

Published on 12 Apr 2019 - 20:40

16

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Given a graph with a position vector and a vector with velocity, defining another vector. No idea where to start.

Published on 12 Apr 2019 - 21:08

24

Views

Vectorial and parametric equation

Published on 12 Apr 2019 - 21:44

27

Views

Distance between a point and a line in space with unknown line equation

Published on 25 Mar 2026 - 16:44

500

Views

How to see if a subspace is contained in another subspace?

Published on 25 Mar 2026 - 12:54

List Question

Prove that if vectors are independent then their cross product is not $0$

Why does a $2×3$ matrix multiplied by a vector in $\Bbb{R}^3$ give a vector in $\Bbb{R}^2$?

If $\|u+tv\| \ge \|u\|$ for all $t$, prove that $u \cdot v=0$

Prove that Distributive law holds: $(\lambda+\mu)u=\lambda u+\mu u$ and $\lambda(u+v)=\lambda u+\lambda v$

Normal Vector in the place

How to write vectors in abbreviated set notation?

Resolving Cross Product Ambiguity Algebraically

Vectors and straight lines

Find the components of a vector?

Prove using vectors two lines bisect each other

How is the following decomposition done?

Given a graph with a position vector and a vector with velocity, defining another vector. No idea where to start.

Vectorial and parametric equation

Distance between a point and a line in space with unknown line equation

How to see if a subspace is contained in another subspace?

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