Suppose u, v and w are non-zero vectors in R" such that proj(-2v) a and proj(5w)= b. Use the projection formula and the properties of the dot product to find a match from the given choices for each of the following. (In the exam you must be able to justify your answers.) proj, (w) Choose proj, (v) Choose proj_(u) Choose... proj3 (3v-4w) Choose... proj3 (2v-7w) if u is perpendicular to v and w Choose... ✓ Choose... 0 (scalar) 0 (zero vector) (-1/2)a (1/5) b b - u (-3/2)a-(4/5)b (3/2)a-(4/5)b (1/2)a u V

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 32EQ
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Question
M9
Suppose u, v and w are non-zero vectors
in R" such that
proj2 (-2v) a and proj3 (5w) = b.
Use the projection formula and the properties
of the dot product to find a match from the given
choices for each of the following.
(In the exam you must be able to justify your answers.)
proj, (w)
Choose...
proj, (v)
Choose...
•
proj_(u)
Choose... #
proj3 (3v-4w)
Choose...
proj3 (2v-7w) if u is perpendicular to v and w
Choose...
✓ Choose...
0 (scalar)
0 (zero vector)
(-1/2)a
(1/5)b
b
- u
(-3/2)a-(4/5)b
(3/2)a-(4/5)b
(1/2)a
u
W
Transcribed Image Text:Suppose u, v and w are non-zero vectors in R" such that proj2 (-2v) a and proj3 (5w) = b. Use the projection formula and the properties of the dot product to find a match from the given choices for each of the following. (In the exam you must be able to justify your answers.) proj, (w) Choose... proj, (v) Choose... • proj_(u) Choose... # proj3 (3v-4w) Choose... proj3 (2v-7w) if u is perpendicular to v and w Choose... ✓ Choose... 0 (scalar) 0 (zero vector) (-1/2)a (1/5)b b - u (-3/2)a-(4/5)b (3/2)a-(4/5)b (1/2)a u W
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