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College Physics: Reasoning and Relationships
Consider the vectors $\overrightarrow{\boldsymbol{A}}$ and $\overrightarrow{\boldsymbol{B}}$ in Figure $\mathrm{P} 1.46$.
a. Draw a picture that graphically constructs the sum of these two vectors $\overrightarrow{\boldsymbol{A}}+\overrightarrow{\boldsymbol{B}}$ (i.e, similar to what was done in $\underline{F i g} .1 .12$ ). Also construct $\overrightarrow{\boldsymbol{A}}-\overrightarrow{\boldsymbol{B}}, \overrightarrow{\boldsymbol{B}}-\overrightarrow{\boldsymbol{A}}, \overrightarrow{\boldsymbol{A}}-5 \overrightarrow{\boldsymbol{B}},$ and $-1.5 \overrightarrow{\boldsymbol{A}}$
b. Suppose $\overrightarrow{\boldsymbol{A}}$ has a length of $2.3 \mathrm{m}$ and $\overrightarrow{\boldsymbol{B}}$ has a length of $1.5 \mathrm{m}$.
Use your graph to estimate the lengths of all the vectors in part (a).