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Question

Find the direction cosines of the vector

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Solution

The given vector is a = i ^ +2 j ^ +3 j ^ .

Magnitude of vector a is,

| a |= 1 2 + 2 2 + 3 2 = 14

Direction cosines of a are ( x | a | , y | a | , z | a | ).

Here, x=1, y=2 and z=3.

Substitute all values for direction cosines, we get,

( 1 14 , 2 14 , 3 14 )

Thus, direction cosines of a are ( 1 14 , 2 14 , 3 14 ).


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