Question

Suppose A=3i-2j and B=-i-4j three vectors in xy plane A+B-C =0 what is the answer Ci​

Answer 1

Ax + Bx = 3 - 1 = 2

Cx = -2

Ay + By = -2 -4 = -6

Cx + Cy = -2 - 6

Then

Ax + Bx - Cx = 2 - (-2) = 0

Ay + By - Cy = -6 - (-6) = 0

C must have the form:

C = -2i - 6j