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Using vectors,show that if a diagonals of rectangle are orthogonal then the rectangle must be square.

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Using vectors,show that if a diagonals of rectangle are orthogonal then the rectangle must be square.

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HallsofIvy

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One of the diagonals, from (0,0) to (w,h) is given by the vector wi+ hj.

The other, from (w,0) to (0,h) is given by the vector -wi+ hj

If the two diagonals are orthogonal then their dot product must be 0.

What IS the dot product of wi+ hj and -wi+ hj?

What does that tell you about w and h?

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super,thanx professor

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