Answer:
[tex]\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right][/tex]
Step-by-step explanation:
We are required to find a unit vector in the direction of:
[tex]\left[\begin{array}{c}-8\\7\\2\end{array}\right][/tex]
Unit Vector, [tex]\hat{a}=\dfrac{\overrightarrow{a}}{|\overrightarrow{a}|}[/tex]
The Modulus of [tex]\overrightarrow{a}[/tex] =[tex]\sqrt{(-8)^2+7^2+(-2)^2}=\sqrt{117}[/tex]
Therefore, the unit vector of the matrix is given as:
[tex]\left[\begin{array}{c}-\frac{8}{\sqrt{117} } \\\frac{7}{\sqrt{117} }\\\frac{2}{\sqrt{117} }\end{array}\right][/tex]
