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Give a vector parametric equation for the line through the point (−4,3)(−4,3) that is perpendicular to the line ⟨3+2𝑡,4+2𝑡

Question

Give a vector parametric equation for the line through the point (−4,3)(−4,3) that is perpendicular to the line ⟨3+2𝑡,4+2𝑡
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Solution 1

The line that is perpendicular to the line ⟨3+2t,4+2t⟩ has a direction vector that is the negative reciprocal of the direction vector of the given line. The direction vector of the given line is ⟨2,2⟩, so the direction vector of the line we are looking for is ⟨-1,1⟩ (since the negative reciprocal of Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.

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