Answer to Question #103036 in Physics for Nimra

Question

Find the sum of vector A and C
A=8i + 8j
C=8i - 16j

Answer 1

Vectors are added component-wise, i.e. $(x_1 i + y_1 j) + (x_2 i + y_2 j) = (x_1 + x_2) i + (y_1 + y_2) j$.

Hence, $(8 i + 8 j) + (8 i - 16 j) = (8 + 8) i + (8 - 16) j = 16 i - 8 j$