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Question

Question: If the points (–1, 3, 2), (–4, 2, –2) and \(( 5,5 , \lambda )\) are collinear, then \(\lambda\)=...

If the points (–1, 3, 2), (–4, 2, –2) and (5,5,λ)( 5,5 , \lambda ) are collinear, then λ\lambda=

A

– 10

B

5

C

– 5

D

10

Answer

10

Explanation

Solution

4+15+4=2352=22λ+2\frac { - 4 + 1 } { 5 + 4 } = \frac { 2 - 3 } { 5 - 2 } = \frac { - 2 - 2 } { \lambda + 2 } or λ+2=12\lambda + 2 = 12 or λ=10\lambda = 10.