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If vector|a + b| = vector|a - b|, then show that vector a is perpendicular on vector b. |
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Answer» Given that, vector|a + b| = vector|a - b| squaring both side, vector(a + b)2 = vector(a - b)2 = a2 + b2 + 2 vector(a.b) = a2 + b2 - 2 vector(a.b) 4 vector(a.b) = 0 vector(a.b) = 0 Thus, vector a is perpendicular to vector b. |
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