Find a vector magnitude 5 units, and parallel to the resultant of the vectors ` vec a=2 hat i+3 hat j- hat k` and ` vec b= hat i-2 hat j+ hat kdot`

Explanation

`\vec{a}=2 \hat{i}+3 \hat{j}-\hat{k} ; \quad \vec{b}=\hat{i}-2 \hat{j}+\hat{k}`


resultant vector of `\vec{c}`


`\vec{c} =(\vec{a}+\vec{b})`


`=(2+1) \hat{i}+(3-2) \hat{\j}+(1-1) \hat{k}`


`=3 \hat{i}+\hat{j}+0 \hat{k}`


`=3 \hat{i}+\hat{j}`




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