If
are unit vectors, find the angle between ![]()
Since, ![]()
Let
& ![]()
Angle between
is
and angle between
is ![]()

By vector addition method;
we have:
![]()
=2(1+cos θ)
![]()
=2(1-cos θ)
So,
![]()
![]()
Now in the parallelogram:
Area of parallelogram= (product of two sides and the sine of angle between them)
i.e.
(1)
Also area of parallelogram= sum of area of all four triangle
And area of each triangle =![]()
So, Area = 2![]()
Since
are supplementary
A= 4
=
(2)
From (1) &(2) we get:


![]()