A line passes through the points whose position vectors are and

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

A line passes through the points whose position vectors are

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

and

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

. The position vector of a point on it at unit distance from the first point is (1)

\frac{1}{5}(5\hat{i} + \hat{j} - 7\hat{k})

(2)

\frac{1}{5}(4\hat{i} + 9\hat{j} - 15\hat{k})

(3)

(\hat{i} - 4\hat{j} + 3\hat{k})

(4)

\frac{1}{5}(\hat{i} - 4\hat{j} + 3\hat{k})