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 and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Vectors In Two And Three Dimensions
Section9.CR: Chapter Review
Problem 8CC
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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)
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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