If the position vectors of the points and are and respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

If the position vectors of the points

A

and

B

are

3\hat{i} + \hat{j} + 2\hat{k}

and

\hat{i} - 2\hat{j} - 4\hat{k}

respectively, then the equation of the plane through

B

and perpendicular to

AB

is (1)

2x + 3y + 6z + 28 = 0

(2)

3x + 2y + 6z = 28

(3)

2x - 3y + 6z + 28 = 0

(4)

3x - 2y + 6z = 28