Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i, j and k. (a) Same direction as - 3i+2j. u= (b) Oppositely directed to 6i- 4j + 2k. V = (c) Same direction as the vector from the point A(-2, 0, 4) to the point B(3, 3, 3). W =

Elementary Linear Algebra (MindTap Course List)
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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
3і + 2j.
u=
(b) Oppositely directed to 6i – 4j + 2k.
V =
(c) Same direction as the vector from the point A(-2,0,4) to the point
В(3, 3, 3).
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 3і + 2j. u= (b) Oppositely directed to 6i – 4j + 2k. V = (c) Same direction as the vector from the point A(-2,0,4) to the point В(3, 3, 3). w =
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