Proving the Pythagorean theorem with orthogonal vectors in Rn

[rgalvan2]

Pythagorean Theorem proof Vector Calc. Due tomorrow 9am. PLEASE HELP!

Prove the Pythagorean theorem. That is, if a,b, and c are vectors in Rⁿ such that a + b = c and a.b = 0, then ||a||² + ||b||² = ||c||². Why is this called the Pythagorean theorem.

Hint given: Given the hypotheses, you have a right triangle. Why?

Help please! This is due tomorrow morning and I cannot figure it out.

||x||= length of variable
a.b= dot product

 

[Hitman2-2]

Hint given: Given the hypotheses, you have a right triangle. Why?

Well what does $$a \cdot b = 0$$ tell you about the vectors a and b?

 

[rock.freak667]

Draw a triangle,explain why the angle is 90 degrees and then think cosine rule.