Calculating the Velocity of a vector

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I don't know why I am finding this so difficult to understand. I have a vector, as follows:

$$ x_1 = [10, 8, 4] $$

Now what I want to do is calculate the velocity of this vector, basically, these are a series of hand movements.

I can't seem to figure out what the equation would be, or, how I would go about calculating a small vector (1D) like this.

This is not homework, just looking for some advice.

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If you have $x_1=[10,8,4]$ and $x_2=[10.3,8.2,4.5]$ as measurements taken $t$ seconds apart, the average velocity over that period is $\frac 1t[0.3,0.2,0.5]$. So you can take two neighboring vectors, subtract them, and divide by the time interval. If the time interval is short, you may have a lot of noise, so it may make more sense to smooth things, but start with the easy approach.