Consider pointsP(−1, 5), Q(1, 7),andR(−5, 9).(a)Determine the unit vector in the direction ofPQand express it in component form.<2,2> (b)Determine the unit vector in the direction ofPQand express it by using the standard unit vectors. Consider points P(-1, 5), Q(1, 7), and R(-5, 9).(a) Determine the unit vector in the direction of PQ and express it in component form.< 2,2 >(b) Determine the unit vector in the direction of PQ and express it by using the standard unit vectors.

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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...

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Question

Consider points

P(−1, 5), Q(1, 7),

and

R(−5, 9).

(a)

Determine the unit vector in the direction of

and express it in component form.

<2,2>

(b)

Determine the unit vector in the direction of

and express it by using the standard unit vectors.

Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.

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