Question

The angle made by vector $3\hat{i}+3\hat{k}$ with x-axis & y-axis respectively are

• A. ${45}^{\circ },{45}^{\circ }$
• B. ${45}^{\circ },{90}^{\circ }$
• C. ${90}^{\circ },{90}^{\circ }$
• D. ${30}^{\circ },{60}^{\circ }$

Answer 1

The correct option is B ${45}^{\circ },{90}^{\circ }$

Angle with x-axis:
$={\tan }^{-1}\left\{\frac{3}{3}\right\}$
$={\tan }^{-1}\left(1\right)={45}^{\circ }$


Since vector in x-z plane, vector makes ${90}^{\circ }$ with y-axis.