8.57 m
Explanation:
To solve the problem, we have to decompose the two vectors along the two directions first:
Vector A:
- x component: Ax = +9.66 m
- y compoment: Ay = 0 (the vector lies along the x-axis)
Vector B:
- x component:
- y component:
So now we can find the sum of the two vectors by adding the components along each axis:
And the magnitude of the sum is given by Pythagorean theorem: