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1. Perform the stated operations on the vectors u, v and w. u=3i-k, v=i-j+2k, w = 3j (a) w-v (b) 6u+4w (c) -v-2w (d) 4(3u+ v) (e) -8(v+w) + 2u (f) 3w-(v-w)

1. Perform the stated operations on the vectors u, v and w. u=3i-k, v=i-j+2k, w = 3j (a) w-v (b) 6u+4w (c) -v-2w (d) 4(3u+ v) (e) -8(v+w) + 2u (f) 3w-(v-w)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter8: Applications Of Trigonometry
Section8.3: Vectors
Problem 8E
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Question
1. Perform the stated operations on the vectors u, v and w. u=3i-k, v=i-j+2k, w= = 3j (a) w-v (b) 6u+4w (c) - v-2w (d) 4(3u + v) (e) -8(v+w)+2u (f) 3w-(v-w) 2. Find the magnitude (norm) and unit vector of v. v = (1,-1) (b) v = -i + 7j (c) v = (-1, 2, 4) (d) v = -3i+2j+k (a) v = 3. Find the position vectors, distance vector and determine the distance of the vector PP₂ (a) P₁(3,5), P₂(2,8) (b) P₁(7,-2), P2(0,0) (c) P₁(5, -2, 1), P₂(2, 4, 2)
Transcribed Image Text:1. Perform the stated operations on the vectors u, v and w. u=3i-k, v=i-j+2k, w= = 3j (a) w-v (b) 6u+4w (c) - v-2w (d) 4(3u + v) (e) -8(v+w)+2u (f) 3w-(v-w) 2. Find the magnitude (norm) and unit vector of v. v = (1,-1) (b) v = -i + 7j (c) v = (-1, 2, 4) (d) v = -3i+2j+k (a) v = 3. Find the position vectors, distance vector and determine the distance of the vector PP₂ (a) P₁(3,5), P₂(2,8) (b) P₁(7,-2), P2(0,0) (c) P₁(5, -2, 1), P₂(2, 4, 2)
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