Ask Me Help Desk - Do you divide the given vector by the magnitude to find the unit vector?

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Do you divide the given vector by the magnitude to find the unit vector?

The problem asks me to find a unit vector in the direction of the given vector. The problem is w=i-2j and another is w=2j.

Yes, that's it. For example, if you have

$<br /> \vec w = 3\hat i + 4 \hat j<br />$

the magnitude of this vector $|\vec w |$ is 5. (Here $\hat i$ and $\hat j$ are the unit vectors in the x ans y directions, respectively.) So the unit vector would be:

$<br /> \vec w = \frac 3 5 \hat i + \frac 4 5 \hat j<br />$

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