If $\vec{a}\times\vec{b}=\vec{c}\times\vec{d}$ and $\vec{a}\times\vec{c}=\vec{b}\times\vec{d}$ then $\vec{a}-\vec{d}$ is parallel to $\vec{b}-\vec{c}$

score 91 · Answer 14 · 2022-10-11 05:34:17

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I have two vectors u and v. Can I find a quaternion and the quaternion axis if my rotation around this axis is 180 degrees?

Published on 11 Oct 2022 - 5:34

score 58 · Answer 15 · 2022-10-11 20:04:01

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Cross product of two vectors is same despite transposing one of them

Published on 11 Oct 2022 - 20:04

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If $\vec{a}\times\vec{b}=\vec{c}\times\vec{d}$ and $\vec{a}\times\vec{c}=\vec{b}\times\vec{d}$ then $\vec{a}-\vec{d}$ is parallel to $\vec{b}-\vec{c}$

I have two vectors u and v. Can I find a quaternion and the quaternion axis if my rotation around this axis is 180 degrees?

Cross product of two vectors is same despite transposing one of them

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