Find the Direction Cosines of the Vector U Given Below $$\mathbf { u } = 4 \mathbf { i } + 4 \mathbf { j } + 5 \mathbf { k }$$

question 101

Multiple Choice

Find the direction cosines of the vector u given below. $$\mathbf { u } = 4 \mathbf { i } + 4 \mathbf { j } + 5 \mathbf { k }$$

• A)
• \(\cos ( \alpha ) = \frac { 16 } { \sqrt { 57 } } , \cos ( \beta ) = \frac { 16 } { \sqrt { 57 } } , \cos ( \gamma ) = \frac { 25 } { \sqrt { 57 } }\)
• B)
• \(\cos ( \alpha ) = \frac { - 8 } { \sqrt { 57 } } , \cos ( \beta ) = \frac { - 8 } { \sqrt { 57 } } , \cos ( \gamma ) = \frac { - 10 } { \sqrt { 57 } }\)
• C)
• \(\cos ( \alpha ) = \frac { 4 } { \sqrt { 57 } } , \cos ( \beta ) = \frac { 4 } { \sqrt { 57 } } , \cos ( \gamma ) = \frac { 5 } { \sqrt { 57 } }\)
• D)
• \(\cos ( \alpha ) = \frac { 8 } { \sqrt { 57 } } , \cos ( \beta ) = \frac { 8 } { \sqrt { 57 } } , \cos ( \gamma ) = \frac { 10 } { \sqrt { 57 } }\)
• E)
• \(\cos ( \alpha ) = \frac { - 4 } { \sqrt { 57 } } , \cos ( \beta ) = \frac { - 4 } { \sqrt { 57 } } , \cos ( \gamma ) = \frac { - 5 } { \sqrt { 57 } }\)

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