Q13 of 51 Page 26

Find for which the points A(3, 2, 1), B(4, λ, 5), C(4, 2, – 2) and D(6, 5, – 1) are coplanar.

Formula: -


and then,





let position vector of



position vector of



position vector of



position vector of



The four points are coplanar if the vector are coplanar






now, using



⇒ 1(9) – (λ – 2)( – 2 + 9) + 4(3 – 0) = 0


⇒ 7λ = 35


⇒ λ = 5


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