If L is a line in 2-space or 3-space that passes through thepoints A and B, then the

Chapter 11, Problem 32

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If L is a line in 2 -space or 3 -space that passes through the points A and B, then the distance from a point P to the line L is equal to the length of the component of the vector \(\overrightarrow{A P}\) that is orthogonal to the vector \(\overrightarrow{A B}\) (see the accompanying figure). Use this result to find the distance from the point \((P)(1,0)\) to the line through \(A(2,-3)\) and \(B(5,1)\).

Equation Transcription:

Text Transcription:

AP^arrow

AB^arrow

(P)(1, 0)

A(2, −3)

B(5, 1)

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