# simple vector problem

#### veronica1999

##### Member
Could someone please take a look at my attached work?

10. Given a vector u, the familiar absolute-value notation |u| is often used for its magnitude. Thus the expressions u•u and |u|^2 both mean the same thing. What exactly do they mean?

11. For any two numbers a and b, the product of a−b times itself is equal to a^2−2ab+b^2. Does this familiar algebraic result hold for dot products of a vector u − v with itself? In other words, is it true that (u − v) • (u − v) = u•u−2u•v+v•v? Justify your conclusion, trying not to express vectors u and v in component form.

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