t two vectors a and b are shown in the figure whose magnitude are 3 and 4 respectively draw vector diagram and find the sum of these
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Draw the vectors a and b with their given magnitudes of 3 and 4 respectively. Show more…
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(a) Find the magnitude and direction of the vector $\overrightarrow{\boldsymbol{R}}$ that is the sum of the three vectors $\overrightarrow{\boldsymbol{A}}, \overrightarrow{\boldsymbol{B}},$ and $\overrightarrow{\boldsymbol{C}}$ in $\mathrm{Fig} .1 .34 .$ In a diagram, show how $\overrightarrow{\boldsymbol{R}}$ is formed from these three vectors. (b) Find the magnitude and direction of the vector $\vec{S}=\overrightarrow{\boldsymbol{C}}-\overrightarrow{\boldsymbol{A}}-\overrightarrow{\boldsymbol{B}} .$ In a diagram, show how $\overrightarrow{\boldsymbol{S}}$ is formed from these three vectors.
$($a) Find the magnitude and direction of the vector $\vec{R}$ that is the sum of the three vectors $\vec{A}, \vec{B},$ and $\vec{C}$ in Fig. $E 1.28 .$ In a diagram, show how how $\vec{\boldsymbol{R}}$ is formed from these three vectors. (b) Find the magnitude and direction of the vector $\vec{S}=\vec{\boldsymbol{C}}-\vec{\boldsymbol{A}}-\vec{\boldsymbol{B}}$ . In a diagram, show how how $\vec{S}$ is formed from these three vectors.
For vectors $$\overrightarrow{\mathbf{B}}=-\hat{\mathbf{i}}-4 \hat{\mathbf{j}}$$ and $$\overrightarrow{\mathbf{A}}=-3 \hat{\mathbf{i}}-2 \hat{\mathbf{j}}$$ , calculate (a) $$\overrightarrow{\mathbf{A}}+\overrightarrow{\mathbf{B}} \quad \text { and } \quad \text { its }$$ magnitude and direction angle, and (b) $$\overrightarrow{\mathbf{A}}-\overrightarrow{\mathbf{B}} \quad \text { and its }$$ magnitude and direction angle.
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