# How to set up this vector problem?

Reading through my homework, I encountered this. I don't know what a picture of this would look like, and how to decompose into separate vectors. Once I figure out what I need to decompose into, I can do the rest. Can you help me?

A car is driven east for a distance of 48 km, then north for 27 km, and then in a direction 32° east of north for 25 km. Determine (a) the magnitude (in km) of the car's total displacement from its starting point and (b) the angle (from east) of the car's total displacement measured from its starting direction.

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HINT Take the unit vector along (positive) east to be $\mathbf i = (1,0)$, and that along north to be $\mathbf j = (0,1)$. Now, consider each of the three displacements, and decompose them into $\mathbf i$ and $\mathbf j$ components. The final position is just the vector sum of the displacements.