Find the vector (mathbf{c}) which added to the vectors (mathbf{a}=(4 hat{mathbf{i}}+3 hat{mathbf{j}}-2 hat{mathbf{k}})) and (mathbf{b}=(2 hat{mathbf{i}}-hat{mathbf{j}}+hat{mathbf{k}})) gives

Question:

Find the vector $\mathbf{c}$ which added to the vectors $\mathbf{a}=(4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}-2 \hat{\mathbf{k}})$ and $\mathbf{b}=(2 \hat{\mathbf{i}}-\hat{\mathbf{j}}+\hat{\mathbf{k}})$ gives as a resultant $\mathbf{r}=(4 \hat{\mathbf{i}}+3 \hat{\mathbf{j}}+1 \hat{\mathbf{k}})$

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