Vector A has x and y components of - 8.70 cm and 15.0 cm, respectively; vector B has x and y components of 13.2 cm and - 60.60 cm, respectively. if Vector A-B+3C=0, what are the components of Vector C

C = - 4.5 i + 75.6 j

Explanation:

In order to find the components of vector C we must sum each of the components in x & y of vectors A, B, C and equal to zero:

A = - 8.7 i + 15 j

B = 13.2 i - 60.6 j

C = ?

(A) + (B) + (C) = 0

(-8.7 i + 15 j) + (13.2 i - 60.6 j) + C = 0

For the x component

- 8.7 + 13.2 + x = 0

x = - 4.5 [cm]

For the y component

- 15 - 60.6 + y = 0

y = 75.6 [cm]

Therefore the vector C is equal to:

C = - 4.5 i + 75.6 j