Question

Let L be the line passing through the point P(-1, 4, 2) with direction vector d=[-1, 1, 1]$^T$. Find the shortest distance $d$ from the point P$_0$(2, 4, 1) 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.

Name: Let L be the line passing through the point P(-1, 4, 2) with direction vector d=[-1, 1, 1]^T. Find the shortest distance d from the point P0(2, 4, 1) to L, and the point Q on L that is closest to P0. Use the square root symbol '√()' where needed to give an exact value for your answer.
Uploaded: 2023-03-13T11:35:38-08:00
Duration: 1 min 26 s
Channel: Supreeta N
Description: Let L be the line passing through the point P(-1, 4, 2) with direction vector d=[-1, 1, 1]^T. Find the shortest distance d from the point P0(2, 4, 1) to L, and the point Q on L that is closest to P0. Use the square root symbol '√()' where needed to give an exact value for your answer.

          Let L be the line passing through the point P(-1, 4, 2) with direction vector d=[-1, 1, 1]$^T$. Find the shortest distance $d$ from the point P$_0$(2, 4, 1) 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.

Let L be the line passing through the point P(-1, 4, 2) with direction vector d=[-1, 1, 1]^T. Find the shortest distance d from the point P0(2, 4, 1) to L, and the point Q on L that is closest to P0. Use the square root symbol '√()' where needed to give an exact value for your answer.

Added by Carla M.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Supreeta N

03/13/2023

Step 1

The vector from P_(0) to any point Q on the line L is given by the vector equation: Q = P_(0) + t*d where t is a scalar parameter. Show more…

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Let L be the line passing through the point P(-1,4,2) with direction vector d=[-1,1,1]^(T). Find the shortest distance d from the point P_(0)(2,4,1) to L, and the point Q on L that is closest to P_(0). Use the square root symbol ' ✓ ' where needed to give an exact value for your answer. d=0 Q=(0,0,0) Let L be the line passing through the point P1,4,2with direction vector d[1,1,1]T.Find the shortest distance d from the point Po2,4,1 to L, and the point Q on L that is closest to Po. Use the square root symbol'Vwhere needed to give an exact value for your answer. O=P Q=(0,0,0)