Calculate the value of a for the points (1, 0, 1), (0, 1, 2), (-1, 2, a) and (7, 2, 1) so that theyare coplanar.

Question

Calculate the value of a for the points (1, 0, 1), (0, 1, 2), (-1, 2, a) and (7, 2, 1) so that theyare coplanar.
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Solution 1

To find the value of 'a' for the points to be coplanar, we can use the scalar triple product method. The points are coplanar if the scalar triple product of the vectors formed by these points is zero.

The vectors can be formed as follows:

Vector A = (0-1, 1-0, 2-1) = (-1, 1, 1) Vector B = (-1-1, 2 Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solv

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