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Classical Mechanics

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Sum in Unit Vector Notation

CLMECH-51S4YL

Find vector $\vec{r}$ which is the resultant of vectors $\vec{a}$ and $\vec{b}$:

$$\vec{a} = 3 \hat{i} - 7 \hat{j} + 2 \hat{k}$$
$$\vec{b} = - 5 \hat{j} -3 \hat{k}$$

A

$\vec{r} = -2 \hat{i} - 7 \hat{j} - \hat{k}$

B

$\vec{r} = 3 \hat{i} - 2 \hat{j} -5 \hat{k}$

C

$\vec{r} = 3 \hat{i} +2 \hat{j} +5 \hat{k}$

D

$\vec{r} = -2 \hat{i} - 10 \hat{j} +2 \hat{k}$

E

$\vec{r} = 3 \hat{i} - 12 \hat{j} - \hat{k}$