NYJC 4B Tutorial Q10

Timothy Gan

NYJC 4B Tutorial Q10

(i)

The non-zero vectors $\mathbf{a,b}$ and $\mathbf{c}$ are such that $\mathbf{a}\times \mathbf{b}=\mathbf{c}\times \mathbf{a}$. Given that $\mathbf{b}\ne -\mathbf{c}$, find a linear relationship between $\mathbf{a,b}$ and $\mathbf{c}$.

(ii)

The variable vector $\mathbf{v}$ satisfies the equation $\mathbf{v}\times (\mathbf{i}-3\mathbf{k})=2\mathbf{j}$. Find the set of vectors $\mathbf{v}$ and fully describe this set geometrically.

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Published: 24th June 2022

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

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