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Find u + v, u – v, and 4u - 5v. Then sketch each resultant vector. u = 5i, v = j (a) u + v u + v = y y 6. 4 4 2 2 u + V -6 -4 -2 2 4 6 -6 4 6. V u+ v -2 -2 -4 -4 -6- y y 6 6 4 4 2 u + v V -2 V -6 -4 -2 2 4 6 u -6 -4 6 u + v -2 -4 -4 (b) u - v u - v = y y 6 4 2- u u -6 -4 -2 -v 6. -6 2 4 6 u- V u- v -4 - 6 y y 6 6. 4 2- u – v U – V -v -v -6 -2 4 6. -6 -4 -2 4 6 -4 (c) 4u - 5v 4u – 5v = y y 20 20 10 10 -20 10 10 20 -20 -10 40 26 -5 v 4 u – 5 v 4 u- 5 v -10 - 10 - 20 - 20 y y 20 20 10 10 4 u -5 y. 5 v .4u-5 v -20 -10 10 20 - 20 -10 10 20 -10 -10 - 20 -20

Find u + v, u – v, and 4u - 5v. Then sketch each resultant vector. u = 5i, v = j (a) u + v u + v = y y 6. 4 4 2 2 u + V -6 -4 -2 2 4 6 -6 4 6. V u+ v -2 -2 -4 -4 -6- y y 6 6 4 4 2 u + v V -2 V -6 -4 -2 2 4 6 u -6 -4 6 u + v -2 -4 -4 (b) u - v u - v = y y 6 4 2- u u -6 -4 -2 -v 6. -6 2 4 6 u- V u- v -4 - 6 y y 6 6. 4 2- u – v U – V -v -v -6 -2 4 6. -6 -4 -2 4 6 -4 (c) 4u - 5v 4u – 5v = y y 20 20 10 10 -20 10 10 20 -20 -10 40 26 -5 v 4 u – 5 v 4 u- 5 v -10 - 10 - 20 - 20 y y 20 20 10 10 4 u -5 y. 5 v .4u-5 v -20 -10 10 20 - 20 -10 10 20 -10 -10 - 20 -20

Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter5: Inner Product Spaces
Section5.CM: Cumulative Review
Problem 12CM
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Find u + v, u - v, and 4u – 5v. Then sketch each resultant vector. u = 5i, v = j (a) u + v u + v = y y 6 6 4 4 2 2 u + v V -2 2 4 6 -6 6 2 V 4 u + v -2 -2 -4 -4 -6 - 6 y y 6 6 4 4 2 2 u + V V X X -6 -6 -2 V -4 -2 2 4 6 u -4 6. u+ v -2 -2 -4 -4 (b) u - v u - v = y y 6 4 4 2 2 u u X -6 -4 -6 -2 -V 6 4 -v u - v u - v -2 -2 -4 -4 -6 - 6 y y 6. 4 4 2 u - v u - v -V -V -6 -4 -2 4 6 -6 -4 -2 4 6. -2 -2 -4 -4 -6 -6 (c) 4u – 5v 4u – 5v = y y 20 10 10 - 20 - 20 2b 10 10 20 - 10 10 5 v 4 u -5 v lu-5v -10 -10 - 20 - 20 y y 20 20 10 10 4 u -5y. 5 v 4u-5 v - 20 - 10 10 - 20 - 10 10 -10 - 10 - 20 - 20 20 20 20 %3D
Transcribed Image Text:Find u + v, u - v, and 4u – 5v. Then sketch each resultant vector. u = 5i, v = j (a) u + v u + v = y y 6 6 4 4 2 2 u + v V -2 2 4 6 -6 6 2 V 4 u + v -2 -2 -4 -4 -6 - 6 y y 6 6 4 4 2 2 u + V V X X -6 -6 -2 V -4 -2 2 4 6 u -4 6. u+ v -2 -2 -4 -4 (b) u - v u - v = y y 6 4 4 2 2 u u X -6 -4 -6 -2 -V 6 4 -v u - v u - v -2 -2 -4 -4 -6 - 6 y y 6. 4 4 2 u - v u - v -V -V -6 -4 -2 4 6 -6 -4 -2 4 6. -2 -2 -4 -4 -6 -6 (c) 4u – 5v 4u – 5v = y y 20 10 10 - 20 - 20 2b 10 10 20 - 10 10 5 v 4 u -5 v lu-5v -10 -10 - 20 - 20 y y 20 20 10 10 4 u -5y. 5 v 4u-5 v - 20 - 10 10 - 20 - 10 10 -10 - 10 - 20 - 20 20 20 20 %3D
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