Consider the planes 3x+5y+2z=1 and 3x+2z=0,find a vector form(with parameter t)for the line of intersectionof the two planes.

Question

Consider the planes 3x+5y+2z=1 and 3x+2z=0,find a vector form(with parameter t)for the line of intersectionof the two planes.
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Solution 1

To find the vector form (with parameter t) for the line of intersection of the two planes, we need to find a common solution to both plane equations.

Step 1: Solve one of the equations for one of the variables Let's solve the second equation, 3x + 2z = 0, for x: x = -2z/3

Step 2: Substitute this i 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.
Knowee AI StudyGPT is a powerful AI-powered study tool designed to help you to solve study problem.
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