Consider the two points P(-3,–3, 2) and Q(-2, -4,0) and the vector -1 V = You are given that PQ = -1 _2 Let l be the straight line in Rº through the point P parallel to the vector v. Calculate the quantities below and enter them in the boxes provided using Maple notation. Remember to give exact answers using Maple notation. F () example, for 2/47 enter 2*sqrt (47) and for the vector enter <1,2,3>. 3 The projection of PQ onto v is the vector projy PQ= The shortest distance between the line l and the point Q is

Elementary Linear Algebra (MindTap Course List)
8th Edition
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Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
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Consider the two points P(-3, –3, 2) and Q(-2, –4,0) and the vector
v =
You are given that
PQ
-1
Let l be the straight line in R through the point P parallel to the vector v.
Calculate the quantities below and enter them in the boxes provided using Maple notation. Remember to give exact answers using Maple notation. For
example, for 2/47 enter 2*sqrt(47) and for the vector
enter <1,2,3>.
3
The projection of PQ onto v is the vector projyPQ
The shortest distance between the line l and the point Q is
Transcribed Image Text:Consider the two points P(-3, –3, 2) and Q(-2, –4,0) and the vector v = You are given that PQ -1 Let l be the straight line in R through the point P parallel to the vector v. Calculate the quantities below and enter them in the boxes provided using Maple notation. Remember to give exact answers using Maple notation. For example, for 2/47 enter 2*sqrt(47) and for the vector enter <1,2,3>. 3 The projection of PQ onto v is the vector projyPQ The shortest distance between the line l and the point Q is
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