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Question Number 132303 by mohammad17 last updated on 13/Feb/21

Answered by EDWIN88 last updated on 13/Feb/21

$$\overrightarrow{\mathrm{a}}=(-1,\frac{3\sqrt{3}}{2},1)$$$$\overrightarrow{\mathrm{b}}=(-3,-5\ln 2,-4)$$$$\overrightarrow{\mathrm{c}}=(4,-5,5)$$$$\iff \overrightarrow{\mathrm{a}}-\overrightarrow{\mathrm{b}}+\overrightarrow{\mathrm{c}}=(6,5(\ln 2-1)+\frac{3\sqrt{3}}{2};2)$$$$=(6,\frac{10\ln \left(\frac{2}{\mathrm{e}}\right)+3\sqrt{3}}{2},2)$$$$\mathrm{unit}\mathrm{vector}\mathrm{is}\frac{(6,\frac{10\ln \left(\frac{2}{\mathrm{e}}\right)+3\sqrt{3}}{2},2)}{\sqrt{40+\frac{{(10\ln \left(\frac{2}{\mathrm{e}}\right)+3\sqrt{3})}^2}{4}}}$$

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