Question

28. If the points A(-1,3,2), B(-4,2,-4
C(5,5,lamnda) are collinear, find the value
Sol. The equations of line passing thr​

Answer 1

Answer:

Let the points be A(−1,3,2)B(−4,2,−2)C(5,5,λ)

Direction ratio of AB=(−3,−1,−4)

If A,B,C are collinear points then direction ratio of AB and BC must be proportional.

Direction ratio of BC=(9,3,λ+2)

∴9=α(−3)

∴3=α(−1)

∴λ+2=α(−4) and α=−3

∴

−3

λ+2

=−4

∴λ=10

Step-by-step explanation:

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