Find a unit vector in the opposite direction of u. u = $( - 8 , - 11,1 )$
A) $\frac { 1 } { \sqrt { 20 } } ( - 8 , - 11,1 )$
B) $\frac { 1 } { \sqrt { 186 } } ( 8,11 , - 1 )$
C) $( - 8 , - 11,1 )$
D) $\sqrt { 186 } ( 8,11 , - 1 )$
E) $\sqrt { 20 } ( - 8 , - 11,1 )$

Question

Quizplus · Accepted Answer

To find a unit vector in the opposite direction of $u = (-8, -11, 1)$, first calculate the magnitude of $u$, which is $\sqrt{(-8)^2 + (-11)^2 + (1)^2} = \sqrt{64 + 121 + 1} = \sqrt{186}$. The unit vector in the opposite direction is obtained by dividing each component of $u$ by its magnitude and changing the sign, resulting in $\frac{1}{\sqrt{186}}(8, 11, -1)$.

Find a Unit Vector in the Opposite Direction of U (−8,−11,1)( - 8 , - 11,1 )(−8,−11,1)

Find a Unit Vector in the Opposite Direction of U $( - 8 , - 11,1 )$