Answered

Find the magnitude of the vector sum
t
A + B.
Vector A is 41.3 m long in a 0° direction.
Vector B is 66.1 m long in a 98.0° direction.
magnitude (m)



Answer :

Explanation:

Ax = 41.3cos(0 ⁰) = 41.3

Ay = 41.3sin(0 ⁰) = 0

Bx= 66.1cos(98 ⁰) = 66.1 * (- 0.139)=-9.20

By = 66.1sin(98 ⁰) = 66.1 * 0.9903=65.42

(A+B) x = 41.3 3 + (- 9.2) = 32.1

(A+B)y=0+65.42= 65.42

by using Pythagorean theorem

= sqrt(1030.41 + 4289.58)

=√5319.99

≈ 72.94m