A mouse is trapped in a maze. To find his way out, he walks 15m, makes a 90 degree left turn, walks 8 meters, makes another 90 degree left turn, and walks 10 meters.

Question

1. A mouse is trapped in a maze. To find his way out, he walks 15m, makes a 90 degree left turn, walks 8 meters, makes another 90 degree left turn, and walks 10 meters. What is the magnitude of the resultant vector?
2. A mouse is trapped in a maze. To find his way out, he walks 15m, makes a 90 degree left turn, walks 8 meters, makes another 90 degree left turn, and walks 10 meters. Find the direction of the resultant vector.

Answer 1

<10, 15> + <-8, 0> + <0 , -8> + <10, 0> = <2, 7>

v = <2, 7>

||v||² = 2² + 7²