A) Linear combination Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av + bw. Linear combination Let u =i – 2j, v = 2i + 3j, and w = i + j. Write u = u, + u2, where u, is parallel to v and u, is parallel to w. (See Exercise 41.)

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter4: Vector Spaces
Section4.1: Vector In R^n
Problem 61E: Illustrate properties 110 of Theorem 4.2 for u=(2,1,3,6), v=(1,4,0,1), w=(3,0,2,0), c=5, and d=2....
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A) Linear combination Let u = 2i + j, v = i + j, and w =
i - j. Find scalars a and b such that u = av + bw.
Linear combination Let u = i – 2j, v = 2i + 3j, and w =
i + j. Write u = u, + uz, where u, is parallel to v and u, is
parallel to w. (See Exercise 41.)
B) Velocity An airplane is flying in the direction 25° west of north
at 800 km/h. Find the component form of the velocity of the air-
plane, assuming that the positive x-axis represents due east and
the positive y-axis represents due north.
Transcribed Image Text:A) Linear combination Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u = av + bw. Linear combination Let u = i – 2j, v = 2i + 3j, and w = i + j. Write u = u, + uz, where u, is parallel to v and u, is parallel to w. (See Exercise 41.) B) Velocity An airplane is flying in the direction 25° west of north at 800 km/h. Find the component form of the velocity of the air- plane, assuming that the positive x-axis represents due east and the positive y-axis represents due north.
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