Relative Velocity Rain Fall Problem

[konichiwa2x]

Hi,
Can someone please check my work and tell me where I am going wrong?
Rain is falling vertically downward with a velocity 25m/s. A cyclist is moving from North to South vith a velocity 15m/s. What is the velocity of the rain with respect to the cyclist? What is the direction the cyclist has to hold his umbrella so as to protect himself from the rain?

Vel of rain = -25j
Vel of cyclist = -15j

Vel of rain with respect to cyclist = -25j - (-15j)
= -10j

and I am not sure on how to find the direction. Please help.

 

[radou]

Since when do cyclists drive in the direction of rain?

 

[6Stang7]

remember, velocity is a vector

 

[Hootenanny]

I want a flying bicycle!

 

[konichiwa2x]

vel of cyclist = 15i right?

 

[radou]

Right. Now I guess you know what you have to do.