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
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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