(1)Given two vectors , a and b where a and b are both not 0 , show that if |a+b|=|a-b| , then a and b are perpendicular to each other . (2) if a and b are perpendicular to each other , show that |a+b|=|a-b|=
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Originally Posted by hooke (1)Given two vectors , a and b where a and b are both not 0 , show that if |a+b|=|a-b| , then a and b are perpendicular to each other . (2)... Square both sides of the equation to get rid of the absolute values: Collect like terms: Thus which means
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