Question

Proposition: the value of the wedge product of two vectors in $\mathbb{R}^2$ is a real number. What about the cross product?

score 66 · Answer 1 · 2026-03-26 01:12:16

66

Views

Proposition: the value of the wedge product of two vectors in $\mathbb{R}^2$ is a real number. What about the cross product?

Published on 26 Mar 2026 - 1:12

score 9.8k · Answer 2 · 2019-08-26 20:39:46

9.8k

Views

Area of quadrilateral using determinant/cross product

Published on 26 Aug 2019 - 20:39

score 452 · Answer 3 · 2019-08-31 17:43:52

452

Views

why are there only two methods of vector multiplication?

Published on 31 Aug 2019 - 17:43

score 1.7k · Answer 4 · 2019-09-07 15:39:14

1.7k

Views

Can you cross two cross products with a cross product?

Published on 07 Sep 2019 - 15:39

score 36 · Answer 5 · 2019-09-09 14:30:55

36

Views

Does $\Vert \mathbb{U(a)} \times \mathbb{U(b)} \Vert = det(\mathbb{U})\Vert \mathbb{a} \times \mathbb{b} \Vert?$

Published on 09 Sep 2019 - 14:30

score 166 · Answer 6 · 2019-09-09 17:33:34

166

Views

An unusual cross product identity

Published on 09 Sep 2019 - 17:33

score 75 · Answer 7 · 2019-09-13 07:37:47

75

Views

Geometric equivalence of cross product

Published on 13 Sep 2019 - 7:37

score 58 · Answer 8 · 2019-09-14 03:20:19

58

Views

Decomposition of a vector on basis $\vec{q}\times \vec{r}, \vec{p}\times \vec{r},\vec{p}\times \vec{q}$

Published on 14 Sep 2019 - 3:20

score 150 · Answer 9 · 2026-03-25 07:41:47

150

Views

7D octonionic cross product versus bivector cross product

Published on 25 Mar 2026 - 7:41

score 35 · Answer 10 · 2019-09-17 05:35:48

35

Views

Vector's proof question

Published on 17 Sep 2019 - 5:35

score 714 · Answer 11 · 2026-03-25 14:27:17

714

Views

Cross product definition with confusion around handedness

Published on 25 Mar 2026 - 14:27

score 46 · Answer 12 · 2019-09-24 14:07:19

46

Views

Prove $\{x\in\mathbb{R}^3: 0=(a_1\times x+a_2)\times(b_1 \times x+b_2)\}$ is finite union of affine spaces

Published on 24 Sep 2019 - 14:07

score 47 · Answer 13 · 2019-09-25 14:19:24

47

Views

How to visualize right hand side of the equation $\pmb a\times \pmb b= |\pmb a||\pmb b|\sin \theta \ \hat{\pmb n}$

Published on 25 Sep 2019 - 14:19

score 3.6k · Answer 14 · 2019-09-25 15:34:02

3.6k

Views

Absolute value of cross product

Published on 25 Sep 2019 - 15:34

score 4k · Answer 15 · 2019-09-26 23:41:15

4k

Views

Geometric explanation of the formula for double cross product

Published on 26 Sep 2019 - 23:41

List Question

Proposition: the value of the wedge product of two vectors in $\mathbb{R}^2$ is a real number. What about the cross product?

Area of quadrilateral using determinant/cross product

why are there only two methods of vector multiplication?

Can you cross two cross products with a cross product?

Does $\Vert \mathbb{U(a)} \times \mathbb{U(b)} \Vert = det(\mathbb{U})\Vert \mathbb{a} \times \mathbb{b} \Vert?$

An unusual cross product identity

Geometric equivalence of cross product

Decomposition of a vector on basis $\vec{q}\times \vec{r}, \vec{p}\times \vec{r},\vec{p}\times \vec{q}$

7D octonionic cross product versus bivector cross product

Vector's proof question

Cross product definition with confusion around handedness

Prove $\{x\in\mathbb{R}^3: 0=(a_1\times x+a_2)\times(b_1 \times x+b_2)\}$ is finite union of affine spaces

How to visualize right hand side of the equation $\pmb a\times \pmb b= |\pmb a||\pmb b|\sin \theta \ \hat{\pmb n}$

Absolute value of cross product

Geometric explanation of the formula for double cross product

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