Find unit vectors that satisfy the stated conditions. NOTE: Enter the exact answers in terms of i,j and k. (a) Same direction as -i+ 5j. -i +5 j u = V26 (b) Oppositely directed to 8i – 4j + 16k. -(8 i – 4 j+ 16 k) v = V336 (c) Same direction as the vector from the point A(-1,0,3) to the point В(2, 2, 2)1 3 i +2 j – k W = V17

Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
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...
icon
Related questions
Question
Find unit vectors that satisfy the stated conditions.
NOTE: Enter the exact answers in terms of i, j and k.
(a) Same direction as -i+ 5j.
-i +5 j
V26
u =
(b) Oppositely directed to 8i – 4j + 16k.
-(8 i – 4 j + 16 k)
V336
v =
(c) Same direction as the vector from the point A(-1,0,3) to the point
В(2, 2, 2)
3і+2j — k
V17
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 -i+ 5j. -i +5 j V26 u = (b) Oppositely directed to 8i – 4j + 16k. -(8 i – 4 j + 16 k) V336 v = (c) Same direction as the vector from the point A(-1,0,3) to the point В(2, 2, 2) 3і+2j — k V17 W =
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning