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ABCD is parallelogram vecA, vecB, vecC a...

ABCD is parallelogram `vecA, vecB, vecC and vecD` are the position vectors of vecticles A, B, C, and D with respect to any origin, them:

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ABCD is a parallelogram with A as the origin. vecb and vecd are position vector of B and D respectively. What is the position of vector C?

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ABCD is a parallelogram with A as the origin. vecb and vecd are position vector of B and D respectively. If absvec(AC)=absvec(BD) , show that ABCD is a Rectangle.

ABCD is a parallelogram with A as the origin. vecb and vecd are position vector of B and D respectively.What is the angle between vec(AB) and vec(AD) ?

If veca,vecb,vecc,vecd respectively are the position vectors representing the vertices A,B,C,D of a parallelogram, then write vecd in terms of veca,vecb,vecc .

A, B, C and D have position vectors veca, vecb, vecc and vecd , repectively, such that veca-vecb = 2(vecd-vecc) . Then