How are vectors A and B oriented if A + B = C and A² + B² = C²?

[User Name]

I can't seem to understand this problem. Could someone give me a hint as to what I'm supposed to be thinking?

Vectors A, B and C satisfy the vecotr equation A + B = C, and their magnitudes are related by the scalar equation A^2 + B^2 = C^2. How is vector A oriented with respect to vector B? Account for your answer.

Am I supposed to be thinking of the Pythagoream Theorum..?

 

[d_leet]

Am I supposed to be thinking of the Pythagoream Theorum..?

Yep, that's right.

 

[Hurkyl]

You can use dot products too. In fact, I would advise trying sometime to do this problem strictly algebraically (i.e. no invoking your geometric knowledge!) just so you can get practice with your algebraic skills!