1. For each of the following pairs of vectors x and y, calculate x · y and the angle 0 between the vectors. а. х %3 (2,5), у %3D (-5, 2) b. х %3D (2, 1), у %3D (-1, 1) e. х %3D (1, —1,6), у %3 (5, 3, 2) *f. х %3D (3, —4, 5), у 3 (-1,0, 1) g. х %3 (1, 1, 1, 1), у %3D (1, —3, —1,5) *с. х %3 (1,8), у 3 (7, —4) d. x %3 (1,4, —3), у %3 (5, 1, 3) atrices *2. For each pair of vectors in Exercise 1, calculate proj,x and proj,y.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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please help me with question 2, subquestion aceg. 

1. For each of the following pairs of vectors x and y, calculate x · y and the angle 0
between the vectors.
81
а. х3D (2, 5), у 3 (-5, 2)
b. х — (2, 1), у — (-1, 1)
е. х 3 (1, —1, 6), у — (5, 3, 2)
(3, —4, 5), у 3 (-1,0, 1)
g. х %3D (1, 1, 1, 1), у %3D (1, —3, —1, 5)
*f. x =
*с. х3D (1, 8), у — (7, —4)
d. x %3
(1,4, — 3), у — (5, 1, 3)
26
Chapter 1 Vectors and Matrices
*2. For each pair of vectors in Exercise 1, calculate proj,x and proj,y.
Transcribed Image Text:1. For each of the following pairs of vectors x and y, calculate x · y and the angle 0 between the vectors. 81 а. х3D (2, 5), у 3 (-5, 2) b. х — (2, 1), у — (-1, 1) е. х 3 (1, —1, 6), у — (5, 3, 2) (3, —4, 5), у 3 (-1,0, 1) g. х %3D (1, 1, 1, 1), у %3D (1, —3, —1, 5) *f. x = *с. х3D (1, 8), у — (7, —4) d. x %3 (1,4, — 3), у — (5, 1, 3) 26 Chapter 1 Vectors and Matrices *2. For each pair of vectors in Exercise 1, calculate proj,x and proj,y.
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