Find the Direction Cosines of the Vector U Given Below $$\mathbf { u } = ( - 2 , - 2 , - 5 )$$

question 120

Multiple Choice

Find the direction cosines of the vector u given below. $$\mathbf { u } = ( - 2 , - 2 , - 5 )$$

• A) \(\cos ( \alpha ) = \frac { 2 } { \sqrt { 33 } } , \cos ( \beta ) = \frac { 2 } { \sqrt { 33 } } , \cos ( y ) = \frac { 5 } { \sqrt { 33 } }\)
• B) \(\cos ( \alpha ) = \frac { 4 } { \sqrt { 33 } } , \cos ( \beta ) = \frac { 4 } { \sqrt { 33 } } , \cos ( \gamma ) = \frac { 10 } { \sqrt { 33 } }\)
• C) \(\cos ( \alpha ) = \frac { 4 } { \sqrt { 33 } } , \cos ( \beta ) = \frac { 4 } { \sqrt { 33 } } , \cos ( \gamma ) = \frac { 25 } { \sqrt { 33 } }\)
• D) \(\cos ( \alpha ) = \frac { - 2 } { \sqrt { 33 } } , \cos ( \beta ) = \frac { - 2 } { \sqrt { 33 } } , \cos ( \gamma ) = \frac { - 5 } { \sqrt { 33 } }\)
• E) \(\cos ( \alpha ) = \frac { - 4 } { \sqrt { 33 } } , \cos ( \beta ) = \frac { - 4 } { \sqrt { 33 } } , \cos ( \gamma ) = \frac { - 10 } { \sqrt { 33 } }\)