Problem 6 Given the two vectors u and v in R" the Cosine of the angle 0 between them is defined as Consider the two vectors u, v, and w in R¹0 10 Solution 6: u = [1 v = [-2 2-1 1 - 2 w = [0 0 0-6 0-9 0 and v in degrees. 1. Find the measure of the angle between u 2. Find the measure of the angle between u and w in degrees. 3. Find the measure of the angle between w and v in degrees. cos(0) = 1 3 U V |ul|v| 4 -1 0 2 - 4 0 0 -6 -2] 9 0 1] -4 0]™ - 4
Problem 6 Given the two vectors u and v in R" the Cosine of the angle 0 between them is defined as Consider the two vectors u, v, and w in R¹0 10 Solution 6: u = [1 v = [-2 2-1 1 - 2 w = [0 0 0-6 0-9 0 and v in degrees. 1. Find the measure of the angle between u 2. Find the measure of the angle between u and w in degrees. 3. Find the measure of the angle between w and v in degrees. cos(0) = 1 3 U V |ul|v| 4 -1 0 2 - 4 0 0 -6 -2] 9 0 1] -4 0]™ - 4
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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cosine of the angle between two vectors
![Problem 6 Given the two vectors u and v in R" the Cosine of the angle 0 between them is defined as
Consider the two vectors u, v, and w in R¹0
u= [1
cos(0) =
2-1
Solution 6:
4 - 1
2
v = [-2
1
3
0
w = [0
0 0
-6
1. Find the measure of the angle between u
2. Find the measure of the angle between u
3. Find the measure of the angle between w
U V
]u\]p]
0 1
- 4
0-6 -2]
9 0
-4
-2
0
- 9
0
and v in degrees.
and w in degrees.
and v in degrees.
-4
1]
0]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe52e616-7bd7-4d85-a476-7e5fcec53ee5%2F0236143f-c9ea-4757-b0e3-162acad71b7e%2Fe8rf7vd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Problem 6 Given the two vectors u and v in R" the Cosine of the angle 0 between them is defined as
Consider the two vectors u, v, and w in R¹0
u= [1
cos(0) =
2-1
Solution 6:
4 - 1
2
v = [-2
1
3
0
w = [0
0 0
-6
1. Find the measure of the angle between u
2. Find the measure of the angle between u
3. Find the measure of the angle between w
U V
]u\]p]
0 1
- 4
0-6 -2]
9 0
-4
-2
0
- 9
0
and v in degrees.
and w in degrees.
and v in degrees.
-4
1]
0]
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