Question

If $OA$ is equally inclined to $OX,OY$ and $OZ$ and if $A$ is $\sqrt{3}$ units from the origin then $A$ is

• A. $\left(3,3,3\right)$
• B. $\left(-1,1,-1\right)$
• C. $\left(-1,1,1\right)$
• D. $\left(1,1,1\right)$

Answer 1

The correct option is D $\left(1,1,1\right)$

By hit and tried method $(1,1,1)=\sqrt{1^2+1^2+1^2}=\sqrt{3}$

and $\cos {\theta }_1=\cos {\theta }_2=\cos {\theta }_3=\frac{1}{\sqrt{3}}$