Let O be the origin. Let OP =x {i^{∧}+y {j^{∧}-{k^{∧} and O Q=-{i^{∧}+2 {j^{∧}+3 x {k^{∧}, x, y \in R, x>0, be such that |P Q|=\sqrt{20} and the vector OP is perpendicular to O Q. If O R=3 {i^{∧}+2 {j^{∧}-7 {k^{∧}, z \in R, is coplanar with OP and OQ, then the value of x^{2}+y^{2}+z^{2} is equal to [17 Mar 2021 Shift 2]

Vector Algebra Part 1

Section: Mathematics

Question : 7 of 100

Marks: +1, -0

Let O be the origin. Let OP =x

∧

−

∧

and OQ=−

∧

+3x

∧

,x,y∈R,x>0, be such that |PQ|=√20 and the vector OP is perpendicular to OQ. If OR=3

∧

−7

∧

, z∈R, is coplanar with OP and OQ, then the value of x2+y2+z2 is equal to

[17 Mar 2021 Shift 2]

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