Hello, I have four points O (0,0) A(-1,3) B(-5,4) and C(7,P)

I have found vector AC to be (8, (p-3))

Now the question is stating what are the values of P for which '' l Vector AC l '' (those two vertical lines are included)=10

Im guessing this is th magnitude so I sub it into the formula which would be (sqrt) (8^{2}+(p-3)^{2})= 10

But from here I keep failing and I am not sure what to do, because I keep ending up with (sqrt) (64 + (p-3)^{2}) =10

And if I try to solve (p-3)^{2}= 0 to get values for P I would end up with P=3 and then my answer for the equation would just not give me the correct answer.

How do i solve this?

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