Vector addition using components: Consider C =A +B (a)C=(Axi+Avi)+(Bxi+ Bj)=(Ax+ Bx)i+(A+ Bv)i (b)C=(Cxi+ Cy) Comparing components of (a) and(b) C=A+B、 B C=A +B B A Physics 121: Lecture 6, Pg 4Physics 121: Lecture 6, Pg 4 Vector addition using components: Consider C = A + B. (a) C = (Ax i + Ay j ) + (Bx i + By j ) = (Ax + Bx )i + (Ay + By )j (b) C = (Cx i + Cy j ) Comparing components of (a) and (b): Cx = Ax + Bx Cy = Ay + By C A Bx By B Ax Ay