Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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![**Problem Statement:**
Let \( L \) be the line passing through the point \( P(-1, -3, -2) \) with direction vector \( \mathbf{d} = [-1, 1, 1]^T \). Find the shortest distance \( d \) from the point \( P_0(-1, 4, -3) \) to \( L \), and the point \( Q \) on \( L \) that is closest to \( P_0 \). Use the square root symbol ‘\(\sqrt{}\)’ where needed to give an exact value for your answer.
**Instructions:**
- Enter the value of \( d = \) [Input box]
- Enter the coordinates of \( Q = ( \text{[Input box]}, \text{[Input box]}, \text{[Input box]} ) \)](https://content.bartleby.com/qna-images/question/ec2b7ff9-b952-4215-9e0f-f264e2036fb8/2f71e907-dbc6-4679-8560-f0655001eadc/ujyyo9_processed.png)
Transcribed Image Text:**Problem Statement:**
Let \( L \) be the line passing through the point \( P(-1, -3, -2) \) with direction vector \( \mathbf{d} = [-1, 1, 1]^T \). Find the shortest distance \( d \) from the point \( P_0(-1, 4, -3) \) to \( L \), and the point \( Q \) on \( L \) that is closest to \( P_0 \). Use the square root symbol ‘\(\sqrt{}\)’ where needed to give an exact value for your answer.
**Instructions:**
- Enter the value of \( d = \) [Input box]
- Enter the coordinates of \( Q = ( \text{[Input box]}, \text{[Input box]}, \text{[Input box]} ) \)
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