February 24, 2017

Homework Help: Math: Vectors

Posted by Anonymous on Sunday, February 10, 2008 at 2:11pm.

What conditions must be satisfied by the vectors "u" and "v" for the following to be true?

a) |u + v| = |u - v|
vector "u" is perpendicular to vector "v"

b) |u + v| > |u - v|
0° ≤ θ ≤ 90°

c) |u + v| < |u - v|
90° < θ ≤ 180°

------- Can you please explain to me why these conditions are true? Why is it perpendicular for the first one? Why is less less than 90°, but greater than 0° for question "b"? Why is it less than 180°, but greater than 90° for question "c"?

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