1. Find Direction cosines of a vector
`A=(4,3)`

Solution:
Here `vec A=(4,3)`

1. Calculate the magnitude(length) of vector `vec A`

`|vec A|`

`=sqrt(A_1^2 + A_2^2)`

`=sqrt(4^2 + 3^2)`

`=sqrt(16 + 9)`

`=sqrt(25)`

`=5`


2. Calculate the direction cosines of vector `vec A`

`cos alpha=(A_1)/(|vec A|)=4/5`

`cos beta=(A_2)/(|vec A|)=3/5`

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2. Find Direction cosines of a vector
`A=(2,2,1)`

Solution:
Here `vec A=(2,2,1)`

1. Calculate the magnitude(length) of vector `vec A`

`|vec A|`

`=sqrt(A_1^2 + A_2^2 + A_3^2)`

`=sqrt(2^2 + 2^2 + 1^2)`

`=sqrt(4 + 4 + 1)`

`=sqrt(9)`

`=3`


2. Calculate the direction cosines of vector `vec A`

`cos alpha=(A_1)/(|vec A|)=2/3`

`cos beta=(A_2)/(|vec A|)=2/3`

`cos gamma=(A_3)/(|vec A|)=1/3`

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