homework and exercises - Can we find a vector if its dot product and cross product with another vector is given?

Sunday, 27 March 2016

If I have two vectors $\vec{b}$ and $\vec{v}$ , and I know that

$\vec{b} \times \vec{v} = \vec{c}$ and

$\vec{b}\cdot\vec{v} = \lambda$ can I find the

$\vec{v}$ vector in terms of the

$\vec{c}$ vector,

$\vec{b}$ vector, and

$\lambda$ ? I have been struggling with for quite sometime. And I hope it's time I asked for help.

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