Find the unit vector along the resultant of
Resultant of is
∴ Unit vector in direction of
If then do you think that A is necessarily equal to C?
Given that,
Let angle between be and that between
∴
Now, if then A = C, and
then
Thus A is not necessarily equal to C.
Find a vector having magnitude equal to the magnitude of vector and parallel to vector
Magnitude of vector A is,
Unit vector in direction of vector
The vector that has magnitude same as that of vector and parallel to vector
Prove that:
, where is the angle between
By using distributive and commutative law, the dot product can be evaluated as,
That is,