Find a unit vector that is perpendicular to both $3\mathbf{i}-2\mathbf{j}+10\mathbf{k}$ and \

Question

Find a unit vector that is perpendicular to both $3\mathbf{i}-2\mathbf{j}+10\mathbf{k}$ and $2\mathbf{i}+3\mathbf{j}-2\mathbf{k}$.[4]

Accepted Answer

$\pm\dfrac{1}{3}(-2\mathbf{i}+2\mathbf{j}+\mathbf{k})$

N2026 P2 Q1