Posted by Anonymous on .
A car is driven 30km west and then 80 km southwest. What is the displacement of the car from the point of origin (magnitude and direction)?

physics 
Steve,
If you arrive at point denoted by the vector p,
p = 30i + (80/√2i  80/√2j)
p = 30i + (56.57i  56.57j)
p = 86.57i  56.57j
p = 103.41
tanθ = 56.57/86.57 = 0.653
θ = 213.16°