Question

The plane $2x-3y+6z-11=0$ makes an angle $si{n}^{-1}\left(k\right)$ with X-axis. Then the value of ‘k’ is

• A. $\frac{\sqrt{3}}{2}$
• B. $\frac{\sqrt{2}}{3}$
• C. $\frac{2}{7}$
• D. $\frac{3}{7}$

Answer 1

The correct option is C $\frac{2}{7}$

d.rs of normal $=(2,-3,6)$
d.rs of X-axis $=(1,0,0)$ find $cos({90}^{\circ }-\theta )$