Consider the planes 3x+5y+2z=1 and 3x+2z=0,find a unit vector v with positive first coordinate that is a parallel to both planes.

Question

Consider the planes 3x+5y+2z=1 and 3x+2z=0,find a unit vector v with positive first coordinate that is a parallel to both planes.
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Solution 1

To find a unit vector v with a positive first coordinate that is parallel to both planes, we need to find the cross product of the normal vectors of the two planes.

Step 1: Find the normal vectors of the planes The normal vector of a plane is given by the coefficients of x, y, and z in the plane eq 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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