The position vectors of points and are and respectively

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

Problem

The position vectors of points

a

and

b

are

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

and

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

respectively. The equation of a plane is

r. (5\hat{i} + 2\hat{j} - 7\hat{k}) + 9 = 0

. The points

a

and

b

(1) lie on the plane (2) are on the same side of the plane (3) are on the opposite side of the plane (4) None of the above