Vertices and of lie along the line

MATHEMATICS · Subjective · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Vertices

B

and

C

\triangle ABC

lie along the line

\frac{x+2}{2} = \frac{y-1}{1} = \frac{z-0}{4}

. Find the area of the triangle given that

A

has coordinates

(1, -1, 2)

and line segment

BC

has length 5.