The non-zero vectors $\mathbf{a}$,$\mathbf{b}$ and $\mathbf{c}$ are such that $\mathbf{a} imes \mat

Question

The non-zero vectors $\mathbf{a}$,$\mathbf{b}$ and $\mathbf{c}$ are such that $\mathbf{a}	imes \mathbf{b}=\mathbf{c}	imes \mathbf{a}$. Given that $\mathbf{b}
e -\mathbf{c}$, find a linear relationship between $\mathbf{a}$,$\mathbf{b}$ and $\mathbf{c}$. [3] The variable vector $\mathbf{v}$ satisfies the equation $\mathbf{v}	imes \left( \mathbf{i}-3\mathbf{k} ight)=2\mathbf{j}$. Find the set of vectors $\mathbf{v}$ and describe this set geometrically. [5]

Accepted Answer

a = k(b+c); v = (0,0,2) + λ(1,0,-3), line through (0,0,2) parallel to i-3k

2017 Specimen Paper P1 Q6

2017 Specimen Paper P1 Q6

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