, and are 3 given points. Let be the line passing through and and be the line through…

MATHEMATICS · Subjective · CBSE · Mathematics · Three-Dimensional Geometry · Three-Dimensional Geometry

Problem

P(0, 3, -2)

Q(3, 7, -1)

and

R(1, -3, -1)

are 3 given points. Let

L_1

be the line passing through

P

and

Q

and

L_2

be the line through

R

and parallel to the vector

V = \hat{i} + \hat{k}

Column I	Column II
(A) Perpendicular distance of $P$ from $L_1$	(p) $7\sqrt{3}$
(B) Shortest distance between $L_1$ and $L_2$	(q) 2
(C) Area of the $\Delta PQR$	(r) 6
(D) Distance from $(0, 0, 0)$ to the plane $PQR$	(s) $\frac{19}{\sqrt{147}}$