The radial velocity of the target in a radar system

Hi, I was given a radar system as shown below:

We know that the radar is at [0, 0], the target is at [50, 35] and its velocity vector (v) is [-6, 2] m/s. Now I was asked to calculate the radial velociy . I don't quite get it as I don't know the angle of v and .

Could you please give me some suggestions? Thanks!

Answer 1

[Sai Kiran]

Hi,

I understand that you want to calculate the velocity of the target in the direction of .

This can be achieved by the dot product of the unit vector = (-50i -35j)/ and the = -6i + 2j.

The dot product is given by ((-50i - 35j)/).(-6i + 2j)

Magnitude of = 3.768 m/s.

Direction of = (-50i - 35j)/.