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 ).