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(Solved): Two position vectors lie in a plane. The first, vector \( \overrightarrow{\mathbf{r}}_{\mathrm{A}^ ...
Two position vectors lie in a plane. The first, vector \( \overrightarrow{\mathbf{r}}_{\mathrm{A}^{\prime}} \) points at an angle of \( 20^{\circ} \) below the positive \( x \)-axis and has a magnitude of \( 42.5 \mathrm{~m} \). The second, vector \( \mathbf{r}_{\mathrm{B}^{\prime}} \), points at an angle of \( 51.5^{\circ} \) above the positive \( x \)-axis and has a magnitude of \( 75 \mathrm{~m} \). (a) Choose the diagram below that is correct a graphical representation of \( \vec{r}_{A}+\vec{r}_{B} \). (b) What is the magnitude, in meters, and what is the direction of vector \( \vec{r}_{C} \), in degrees? Give the direction as an angle measured counterclockwise from the positive \( x \)-axis. magnitude direction o (counterclockwise from the \( +x \)-axis)
Expert Answer
Part A. Already solved. Correct option is Graph 3. Reason: Start vector rA from origin, then draw vector rB at the tip of vector rA, now to add both vector rA and rB, draw vector rC, which starts from tail of rA and ends