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Talha's Physics Academy

Talha's Physics Academy is an exploration environment for concepts in physics which employs free Physics Books and other linking strategies to facilitate smooth navigationThe entire environment is interconnected with thousands of links, reminiscent of a neural network.

Talha's Physics Academy

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Talha's Physics Academy

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Talha's Physics Academy

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The vertices A,B, and C of a triangle are given by the points (−1, 0, 2), (0, 1, 0), and (1,−1, 0), respectively. Find point D so that the figure ABCD forms a plane parallelogram.


Answer:If you have a parallelogram ABCD, then you know the vectors AB and DC need to be equal as they are parallel and have the same length. Since we know that AB=(1,1,2) you can easily calculate D since you (now) know C and CD(=AB). We get for 0D=0C+CD=(1,-1,0)+(1,1,-2)=(2,0,-2) and hence D(2,0,-2).

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