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**Vectors and Magnitude - Theoretical -- PLEASE HELP!!**

## Homework Statement

1. a. Can a vector have a component equal to zero and still have nonzero magnitude? Explain.

b. Can a vector have zero magnitude if one of its components is nonzero? Explain.

## Homework Equations

During lecture, the prof. mentioned that magnitudes are always positive.

There is nothing in our textbook that discusses magnitues equaling zero.

Plus, I have no idea what the question is asking.

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## The Attempt at a Solution

I went to look through other physics websites on the net. And from what I understand . . .

If a vector has nonzero components, it cannot have a magnitude of a vector because the very fact that it has a nonzero component, already implies a nonzero magnitude.

If a vector has a magnitude of nonzero, then the magnitude must come from nonzero components of a vector?

I don't know if that's right . . . and if the explanation is sufficient? = S

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