Let P be a plane passing through the points (1, 0, 1), (1, –2, 1) and (0, 1, –2). let a vector a = i + j + k...

Question

Let P be a plane passing through the points (1, 0, 1), (1, –2, 1) and (0, 1, –2). let a vector a = i + j + k be such that a is parallel to the plane P, perpendicular to ( i +2 j +3 k ) and a ( i + j +2 k )=2, ( - + )^2 equals _____.

Accepted Answer

81

JEE Main 2021 Mathematics question

Solution