#3. [Vectors] Two vectors are given by A = 8.0i + 6.0? and f3 = 5.0'i — 12.0? (a) Draw each vector carefully on a scale diagram with x—y axes. Use components find the

angle (in 0) each vector makes with the --x—axis. Check these with your diagram. (b) Carefully construct the vectors A —- fl and I} — Eon your diagram. Use the components

of A and 1—3 to calculate vectors A + E and I? u; , and show that these results agree with the

drawings on your diagram. (c) Calculate the value of A o f! directly using the components of these vectors. Then use this

result to find the angle between the two vectors without using your results from (a). Show that

your value found here agrees with your values from (a) and with your drawings.