The points (3, −2, −1), (−1, 1, 2), (2, 3, −4) and (4, 5, λ) are coplanar when λ=

Question

The points (3, −2, −1), (−1, 1, 2), (2, 3, −4) and (4, 5, λ) are coplanar when λ=
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Solution 1

The four points (3, -2, -1), (-1, 1, 2), (2, 3, -4) and (4, 5, λ) are coplanar if the determinant of the matrix formed by their coordinates is zero.

The matrix is:

| 3 -2 -1 1 | | -1 1 2 1 | | 2 3 -4 1 | | 4 5 λ 1 |

We can calculate the determinant of this matrix using the method of minors and c 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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