Find the possible values of $a$, given that \((a-1)\mathbf{i}+(1-2a)\mathbf{j}-\frac{1}{2}\mathbf{

Question

Find the possible values of $a$, given that $(a-1)\mathbf{i}+(1-2a)\mathbf{j}-\frac{1}{2}\mathbf{k}$ is a unit vector.

Accepted Answer

$a=\frac{3}{5}\pm \frac{\sqrt{11}}{10}$

Vectors - Magnitude of a Vector