Answered: 3 -9- 2 : Suppose that vị = 7 V2 = V3 =…

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3 -9- 2 : Suppose that vị = 7 V2 = V3 = -3 ,where h is some real number. Consider the following: -3 1

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter1: Fundamental Concepts Of Algebra

Section1.1: Real Numbers

Problem 1E

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Question

Part (a): For what value(s) of hh is v1∈span{v2,v3}v1∈span{v2,v3}? (That is, when is the first vector in the span of the other two?) Explain how you know.

Part (b): For what value(s) of hh is {v1,v2,v3}{v1,v2,v3} linearly dependent? Explain how you know.

3
-9-
2
: Suppose that vị =
7
V2 =
V3 =
-3
,where h is some real number. Consider the following:
-3
1

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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