The resultant of two vectors is and perpendicular to Show that
Let the angle between and be
Resultant of is A.
Therefore,
...(1)
Also resultant is perpendicular to
∴
...(2)
From (1) and (2)
If are orthogonal , then prove that
Magnitude of resultant of two vectors acting at angle is given by,
Here, are orthogonal, therefore
Therefore,
If and then what is the angle between
Let be the angle between
∴ Resultant is given by,
Hence, R = A = B
Thus,
, is the required angle between them.