Vector A with arrow has x and y components of - 8.60 cm and 18.0 cm, respectively; vector B with arrow has x and y components of 12.8 cm and - 6.80 cm, respectively. If A with arrow - B with arrow + 3C with arrow = 0, what are the components of C with arrow?

Answer: (a, b) = (7.13,-8.27)

Step-by-step explanation:

From the data, we have

A-B+3C=0

where, A = (-8.6, 18.0)

B = (12.8, - 6.8)

and let C = (a, b)

So, putting values

(-8.6, 18.0) - (12.8, - 6.8) + 3 (a, b) = 0

3 (a, b) + (-21.4, 24.8) = 0

3 (a, b) = (21.4, - 24.8)

(a, b) = (7.13,-8.27)