You mean the vector from A to B and the vector from G to H.

Yes, those are correct.So if I were to attempt to find the components I'd say

a. = -1, and 0

and

b. = -3. and -2

If I enter it into the magnitude formula I was given I get;

a. = square of{1^{2}+ 0^{2})

a. = square of (1)

b.= square of (-3^{2 }+ -2^{2})

b.= square of (13)

NOT "square of", squarerootof. Very different things! And you do understand that the square root of 1 is 1, right?

In all the sample questions we were given we had numbers with a whole square, or even numbers that were easier to factor, but on the assignment we have these, and no way of confirming that what were doing is correct. [/QUOTE]

Why would having whole number roots give you a way to "confirm" what you were doing?