3D Geometry · Foot of perpendicular to a line

The vertices

B

and

C

of a triangle

ABC

lie on the line

\dfrac{x}{1} = \dfrac{1 - y}{-2} = \dfrac{z - 2}{3}

. The coordinates of

A

and

B

are

(1, 6, 3)

and

(4, 9, \alpha)

respectively and

C

is at a distance of 10 units from

B

. The area (in sq. units) of

\Delta ABC

is:

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