Find the component of vector in direction of
Dot product of two vectors is given by,
∴
New component of in the direction of
Given,
and
Thus,
Magnitude of B,
So, components of vector in the direction of
∴
A particle moves in XY plane, such that its position at any instant is
and
Find the angle between velocity vector and acceleration vector at any instant.
The position of the particle at any instant is,
Therefore the velocity of particle at any instant is,
Acceleration of particle at any instant is,
Now,
Since dot product of acceleration vector and velocity vector is zero, therefore the acceleration vector and velocity vector is
Find the component of vector in the direction of
We know
∴
Now component of in the direction of is,
Here,
and
Thus,
and
∴