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Prove that the following vectors are cop...

Prove that the following vectors are coplanar `-4hat(i) + 4hat(j) + 4hat(k), 4hat(i) + 5hat(j) + hat(k) - hat(j) - hat(k), 3hat(i) + 9hat(j) + 4hat(k)`.

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The correct Answer is:
A, B, C and D coplanar
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Find the value of lambda for which the four points with position vectors 3hat(i) - 2hat(j) - hat(k), 2hat(i) + 3hat(j) - 4hat(k), -hat(i) + hat(j) + 2hat(k) and 4hat(i) + 5hat(j) + lambda hat(k) are coplanar.

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