Let v = (3, 0, 4) and w = (5, -2, -5). Compute the following quantities: a. The parallel projection of v onto w = 1 b. The perpendicular projection of v onto w - c. The unit vector v ( = 2 2 2 9 2 d. How many unit vectors are there parallel to v?
Let v = (3, 0, 4) and w = (5, -2, -5). Compute the following quantities: a. The parallel projection of v onto w = 1 b. The perpendicular projection of v onto w - c. The unit vector v ( = 2 2 2 9 2 d. How many unit vectors are there parallel to v?
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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Must answer all the 4 parts. Don't solve just 3 parts. Solve all 4 parts. Or else leave it.
Transcribed Image Text:Let v = (3, 0, 4) and w = (5, -2, -5). Compute the following quantities:
a. The parallel projection of v onto w
=
1
b. The perpendicular projection of v onto w
-
c. The unit vector v
(
=
2
2
9
9
2
d. How many unit vectors are there parallel to v?
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