If , the do you think that A is necessarily equal to C?
Here,
Let the angle between be and that between be .
∴
and
Therefore,
Now,
and then
Thus, A is not necessarily equal to C.
If diagonals of a parallelogram are then find the area of the parallelogram.
Let the sides of the parallelogram be whose diagonals are
The unit vector perpendicular to vectors is given by,
We have,
and
Therefore,
and
∴ , is the required unit vector.