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What are the angles made by vector vec ...

What are the angles made by vector ` vec A =hat i + sqrt 3 hat j` with x-axis and y-axis ?

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comparting the given vector `overset(rarr)A=hati +sqrt(3)hatj` with vector `overset(rarr)A =A_(x)hati +A_(y)hatj`
we have `A_(x)=1` and `A_(Y)=sqrt(3) therefore A=sqrt(A_(x)^(2)+A_(y)^(2))=sqrt(1^(2)+sqrt(3)a^(2))=2`
`cos alpha =(A)/(A)=1/2 = cos 60^(@)` or `alpha =60^(2), cos beta =(A_(y))/(A)=sqrt(3)/(2)= cos 30^(@)` or `beta =30^(@)`
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