If u = [_¹2₂], a b. C. d. e. Let u = g. V = [³₁], W = and v= [₁] s) u. (v + 2w) ) Find a unit vector in the direction of w. Find a vector in the direction of w with length 10. 2 Determine the value of: 3) Determine the distance between u and v. 5) Determine the angle between each pair of vectors u & v, u & w, v & w, Can you find any orthogonal pair of vectors? Explain. AMI ) Verify the Schwarz inequality. s) Verify the triangle inequality. ) Find any combination of a and b such that the x = is perpendicular to v. 22;

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter1: Vectors
Section1.3: Lines And Planes
Problem 16EQ
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Question
Solve this in clear paper.
a
If u =
a
b.
C.
d.
=[¹₂],
e.
09
Let u =
V =
[³₁],
0
s) u. (v + 2w)
Find a unit vector in the direction of w. Find a vector in the direction of w with
length 10.
= [₁] Determine the value of:
3) Determine the distance between u and v.
5) Determine the angle between each pair of vectors u& v, u & w, v&w, Can you
find any orthogonal pair of vectors? Explain.
and v=
W =
2
) Verify the Schwarz inequality.
s) Verify the triangle inequality.
AM ED
0
5) Find any combination of a and b such that the x =
is perpendicular to v.
2022,ular
artoo:1
Transcribed Image Text:a If u = a b. C. d. =[¹₂], e. 09 Let u = V = [³₁], 0 s) u. (v + 2w) Find a unit vector in the direction of w. Find a vector in the direction of w with length 10. = [₁] Determine the value of: 3) Determine the distance between u and v. 5) Determine the angle between each pair of vectors u& v, u & w, v&w, Can you find any orthogonal pair of vectors? Explain. and v= W = 2 ) Verify the Schwarz inequality. s) Verify the triangle inequality. AM ED 0 5) Find any combination of a and b such that the x = is perpendicular to v. 2022,ular artoo:1
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