Chapter 3, Problem 7P

Figure 3-33 shows two vectors, $\text{<mover accent="true"> <mo> A </mo> <mo> → </mo> </mover>}$ and $\text{<mover accent="true"> <mo> B </mo> <mo> → </mo> </mover>}$ , whose magnitudes are $A=6.8$ units and $B=5.5$ units. Determine $\text{<mover accent="true"> <mo> C </mo> <mo> → </mo> </mover>}$ if (a) $\text{<mover accent="true"> <mo> C </mo> <mo> → </mo> </mover>}=\text{<mover accent="true"> <mo> A </mo> <mo> → </mo> </mover> + <mover accent="true"> <mo> B </mo> <mo> → </mo> </mover>}$ , (b) $\text{<mover accent="true"> <mo> C </mo> <mo> → </mo> </mover>}=\text{<mover accent="true"> <mo> A </mo> <mo> → </mo> </mover>}-\text{<mover accent="true"> <mo> B </mo> <mo> → </mo> </mover>}$ , (c) $\text{<mover accent="true"> <mo> C </mo> <mo> → </mo> </mover>}=\text{<mover accent="true"> <mo> B </mo> <mo> → </mo> </mover>}-\text{<mover accent="true"> <mo> A </mo> <mo> → </mo> </mover>}$ . Give the magnitude and direction for each.

y

Figure 3-33

Problem 7.