Q. 10 C

# Show that the fol

To prove: the 3 points are collinear.

Formula:

The distance between two points (x1,y1,z1) and (x2,y2,z2) is given by

D=

Here,

Vertices should be R(-1, 4, -2)

The solution according is

(x1,y1,z1)= (3, -2, 4)

(x2,y2,z2)= (1, 1, 1)

(x3,y3,z3)= (-1, 4,- 2)

Length PQ=

=

=

=

=

Length QR=

=

=

=

=

Length PR =

=

=

=

= = 2

PQ + QR= + =2 = PR

Therefore P, Q, R are collinear.

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