Question

10

9
987654
14. Your vehicle is stuck in the snow! Two trucks arrive with ropes and pull you out. The first truck pulls
with a force vector of u = (4,1) and the second truck pulls with a force vector of v = (1,5)
a. Sketch a vector model of the problem. (3 pts)
321
0 1 2 3 4 5 6 7 8 9 10
b. Find the Dot Product of u and v. (4 pts)

Answer 1

The sketch is attached

The dot product is 9

How to find the dot product

In the sketch the position of the car is the origin

The dot product of two vectors is given solved as follows

u . v = (4) * (1) + (1) * (5)

u . v = 4 + 5

u . v = 9

the dot product of u and v is 9.