First slide

Introduction to 3-D Geometry

Question

Let A (1, –1, 3), B (2, 3, 5) is divided by P in the ratio 3:4 internally then harmonic conjugate of P w.r.t. to A, B is

Easy

A

(2, 13, 3)
B

(2, –13 , 3)
C

(–2, 13, –3)
D

(–2, –13, –3)

Solution

Req pt divides ascending in the ratio – 3:4
$(\frac{- 6 + 4}{1}, \frac{- 9 - 4}{1}, \frac{- 15 + 12}{1}) = (- 2, - 13, - 3)$

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