If are distinct non-zero vectors represented by directed lines from the origin to the points A, B, C and D respectively and if , then prove that ABCD is a parallelogram.
Let be the position vectors of A, B and C respectively.
Also,
But the vectors have the same initial point point A, B and C are collinear.
If A and B are two points in space and if they become respectively A', B' on a translation, show that