Let O be the origin. Let OP =x i +y j - k and OQ =- i +2 j +3x k , x, y R, x 0, be such that | PQ |= 20 and...

Question

Let O be the origin. Let OP =x i +y j - k and OQ =- i +2 j +3x k , x, y R, x > 0, be such that | PQ |= 20 and the vector OP is perpendicular to OQ . If OR =3 i +z j -7 k , z R, is coplanar with OP and OQ , then the value of x^2+y^2+z^2 is equal to :

Accepted Answer

(B)

JEE Main 2021 Mathematics question

Solution