Let x be a vector in the plane containing vectors a =2 i - j + k and b = i +2 j + k . If the vector x is...

Question

Let x be a vector in the plane containing vectors a =2 i - j + k and b = i +2 j + k . If the vector x is perpendicular to (3 i +2 j - k ) and its projection on a is 17 6 2 , then the value of | x |^2 is equal to __________.

Accepted Answer

486

JEE Main 2021 Mathematics question

Solution