If O is the origin and the line OP of length r makes an angle α with x- axis and lies in the xz- plane, then the coordinates of P are - Sri Chaitanya Infinity Learn Best Online Courses for NCERT Solutions, CBSE, ICSE, JEE, NEET, Olympiad and Class 6 to 12

If a $P$ point lines on the $x z -$ plane then the coordinates of the point $P$ can be taken as $(x, 0, z)$

Given the angle made by the line with $x -$ axis is and the $α$ angle made by the same line with $z -$ axis is $90 ° - α$

Therefore, the coordinates of the point $P (r \cos α, 0, r \sin α)$

If $O$ is the origin and the line $O P$ of length $r$ makes an angle $α$ with $x -$ axis and lies in the $x z -$ plane, then the coordinates of $P$ are