1. Find Ju|, u + V, u – v, 2u, and 3u – 2v. - (a) u = (-2,3), v = (8,1) (b) u = 5i - 2j, v = -3i

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.7: Distinguishable Permutations And Combinations
Problem 21E
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1. Find |u|, u + V, u – v, 2u, and 3u - 2v.
(a) u = (-2,3), v = (8,1)
(b) u = 5i – 2j, v = –3i
2. Are u and v orthogonal? If not, find the angle between them.
(a) u = (-4, 2), v= (3,6)
(b) u = 2i + j, v=i+3j
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Transcribed Image Text:1. Find |u|, u + V, u – v, 2u, and 3u - 2v. (a) u = (-2,3), v = (8,1) (b) u = 5i – 2j, v = –3i 2. Are u and v orthogonal? If not, find the angle between them. (a) u = (-4, 2), v= (3,6) (b) u = 2i + j, v=i+3j Notes a 23 4+ 12 prt sc delete ho 6. 7. 8. %3D backspace R 11 K pause B N
Let u be the vector with initial point P(3, -1) and terminal point Q(-3,9).
(a) Graph u in the coordinate plane.
(b) Express u in terms of i and j.
(c) Find the length of u.
88
305 PM
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Transcribed Image Text:Let u be the vector with initial point P(3, -1) and terminal point Q(-3,9). (a) Graph u in the coordinate plane. (b) Express u in terms of i and j. (c) Find the length of u. 88 305 PM $/21/2021 "brt sc delete home end 1- 6. num lock backspace home enter pause M 1 shift end alt ctrl
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