Answer
sample answer:
$\vec{a}=(3m)\hat{i}, \quad\vec{b}= (4m)\hat{i},$
Work Step by Step
Model: adding vectors in component form, (3-10 to 3-12)
$\vec{r}=\vec{a}+ \vec{b}$
$r_{x}=a_{x}+b_{x} \quad r_{y}=a_{y}+b_{y} \quad r_{z}=a_{z}+b_{z}$.
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(a) Take both vectors on the x axis, pointing in the same direction.
$\vec{a}=(3m)\hat{i}, \quad\vec{b}= (4m)\hat{i},$
$\vec{r}=\vec{a}+ \vec{b}=(7m)\hat{i}$
(magnitude of r is 7)