Consider the two points P(-5, –4, -4) and Q(-7,–-4, –5) and the vector V = 1 -2 You are given that -2 PQ = 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 (1' 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
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CR: Review Exercises
Problem 13CR
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Consider the two points P(-5, –4, –4) and Q(-7, –4, –5) and the vector
v =
1
You are given that
PQ =
Let l be the straight line in R3 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 projy PQ:
The shortest distance between the line l and the point Q is
Transcribed Image Text:Consider the two points P(-5, –4, –4) and Q(-7, –4, –5) and the vector v = 1 You are given that PQ = Let l be the straight line in R3 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 projy PQ: The shortest distance between the line l and the point Q is
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