Let be the line and let be the another line

MATHEMATICS · Single correct · IB Diploma Programme · Mathematics: Analysis and Approaches · Geometry and Trigonometry · Geometry and Trigonometry

Problem

Let

L_1

be the line

r_1 = 2\hat{i} + \hat{j} - \hat{k} + \lambda(\hat{i} + 2\hat{k})

and let

L_2

be the another line

r_2 = 3\hat{i} + \hat{j} + \mu(\hat{i} + \hat{j} - \hat{k})

. Let

\pi

be the plane which contains the line

L_1

and is parallel to

L_2

. The distance of the plane

\pi

from the origin is (1)

\sqrt{\frac{2}{7}}

(2)

\frac{1}{7}

(3)

\sqrt{6}

(4) None of these