Question

Three vectors a b and c have the following x and y components:

Ax = 6.7, Ay= -2.3; Bx = -5.5, By = 4.5; Cx = 3.2, Cy = 7.2.

Required:
What is the magnitude of A + B + C ?

Answer 1

The magnitude of the vector addition is approximately 10.38

Step-by-step explanation:

Recall that the vectors add easily in component form, just by adding component by component:

A = (6.7, -2.3)

B = (-5.5, 4.5)

C = (3.2, 7.2)

A + B + C = (6.7- 5.5 + 3.2, -2.3 + 4.5 + 7.2 ) = (4.4, 9.4)

Then, this vector's magnitude is calculated via:

`√(4.4^2+9.4^2) \approx 10.38`