Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j and k. (a) Same direction as 2i + 7j. - 2 7 u = i + i V53 V53 (b) Oppositely directed to 4i – 2j + 8k. 1 i + V21 4 k V21 v = 21 (c) Same direction as the vector from the point A(-2,0, 2) to the point В(3, 1, 1). W =

Elementary Linear Algebra (MindTap Course List)
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Author:Ron Larson
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Chapter5: Inner Product Spaces
Section5.1: Length And Dot Product In R^n
Problem 17E: Consider the vector v=(1,3,0,4). Find u such that a u has the same direction as v and one-half of...
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Find unit vectors that satisfy the stated conditions.
NOTE: Enter the exact answers in terms of i,j and k.
(a) Same direction as
2i + 7j.
-
7
i+
V53
u =
V53
(b) Oppositely directed to 4i – 2j + 8k.
1
i +
21
2
4
k
V21
v =
V21
(c) Same direction as the vector from the point A(-2,0, 2) to the point
В(3, 1, 1).
w =
Transcribed Image Text:Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j and k. (a) Same direction as 2i + 7j. - 7 i+ V53 u = V53 (b) Oppositely directed to 4i – 2j + 8k. 1 i + 21 2 4 k V21 v = V21 (c) Same direction as the vector from the point A(-2,0, 2) to the point В(3, 1, 1). w =
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