If , , The position vector of

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

Problem

a = 6\hat{i} + 7\hat{j} + 7\hat{k}

b = 3\hat{i} + 2\hat{j} - 2\hat{k}

P(1, 2, 3)

The position vector of

L

, the foot of the perpendicular from

P

on the line

r = a + \lambda b

is (1)

6\hat{i} + 7\hat{j} + 7\hat{k}

(2)

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

(3)

3\hat{i} + 5\hat{j} + 9\hat{k}

(4)

9\hat{i} + 9\hat{j} + 5\hat{k}