Question

Find λ in order that the four points A(3, 2, 1), B(4, λ, 5), C(4, 2, -2) and D(6, 5, -1) to be coplanar.

Answer 1

Explanation:

We have Given the following four points.

A(3, 2, 1)

B(4, λ, 5)

C(4, 2, -2) and

D(6, 5, -1)

The question has involved Scalar Triple Product of vectors.

First, I have found three vectors.

All the three vectors start from the same point "A".

The vectors are Coplanar if their scalar triple product is equal to zero.

Kindly see the attachment for the Detailed Answer.

I hope it will help you.