For questions about vector spaces and their properties. More general questions about linear algebra belong under the [tag:linear-algebra] tag. A vector space is a space which consists of elements called "vectors", which can be added and multiplied by scalars. In other words, these are the spaces ...

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Co-planar unit vectors and their resultants.

Let $\bf a,b,c$ be three co-planar unit vectors such that $\bf a\hat \;b=\theta,b\hat\;c=2\theta$ where $\bf x\hat\;b$ is the angle between two vectors. Two vectors $\bf p,q$ are given by $$\bf ...
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An operation similiar to division of vector?

I need to solve these three equations to get $\vec x,\vec y,\vec z$ in terms of $\vec a,\vec b,\vec c$: $$\vec x \times (\vec y \times \vec z)=\vec a\\ \vec y \times (\vec z \times \vec x)=\vec ...