Find an equation of the plane. the plane that passes through the point (3, 6, −1) and contains the line x = 4 − t, y = 2t − 1, z = −3t
Question
Find an equation of the plane. the plane that passes through the point (3, 6, −1) and contains the line x = 4 − t, y = 2t − 1, z = −3t
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Solution 1
To find the equation of the plane, we first need to find two direction vectors that are parallel to the plane.
- We know that the plane contains the line x = 4 - t, y = 2t - 1, z = -3t. This line can be written in vector form as r(t) = <4 - t, 2t - 1, -3t>. The direction vector of this line, whic Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob
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Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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