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a. Can a vector have nonzero magnitude if a component
Chapter 3, Problem 1(choose chapter or problem)
QUESTION:
a. Can a vector have nonzero magnitude if a component iszero? If no, why not? If yes, give an example.b. Can a vector have zero magnitude and a nonzero component?If no, why not? If yes, give an example.
Questions & Answers
QUESTION:
a. Can a vector have nonzero magnitude if a component iszero? If no, why not? If yes, give an example.b. Can a vector have zero magnitude and a nonzero component?If no, why not? If yes, give an example.
ANSWER:Step 1 of 3
Part (a)
The magnitude of a vector can be expressed as,
Here, is the magnitude of a vector, is the horizontal component and is the vertical component.