Question

Given three vectors A=24i +33j, B= 55i - 12j and C = 2i+ 43j.

(a) find the mangnitude of each vectors.

(b) write an expression for the vector difference A - C.

(d) in a vector diagram show vector A+B , and A-B, and also show that your diagram agrees

Answer 1

Given:

${\bf A}=24{\bf i}+33{\bf j},\; {\bf B}=55{\bf i}-12{\bf j},\; {\bf C}=2{\bf i}+43{\bf j}.$

(a)

$$A=\sqrt{24^2+33^2}=40.8$$ $$B=\sqrt{55^2+(-12)^2}=55.3$$ $$C=\sqrt{2^2+43^2}=43.0$$

(b)

$${\bf A}-{\bf C}=(24{\bf i}+33{\bf j})-(2{\bf i}+43{\bf j})=22{\bf i}-10{\bf j}.$$

(c)