A unit radial vector ( hat{r} ) makes angles of ( alpha=30^{circ} ) relative to the ( mathrm{x} ) -axis, ( beta=60^{circ} ) relative to the y-axis, and ( gamma=90^{circ} ) relative to the z-axis. The vector ( hat{r} ) can be written as:
(1) ( frac{1}{2} hat{i}+frac{sqrt{3}}{2} hat{j} )
(2) ( frac{sqrt{3}}{2} hat{i}+frac{1}{2} hat{j} )
(3) ( frac{sqrt{2}}{3} hat{mathrm{i}}+frac{1}{sqrt{3}} )
(4) None of these

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( stackrel{}{operatorname{ginen} alpha=30^{circ}}, beta=60^{circ} cdotleft(y=90^{circ}right) )
fithers in ( x ) -yplane
[
begin{aligned}
therefore text { vector } &=1 cos alpha hat{i}+1 cos beta hat{j}
& Rightarrow frac{sqrt{3}}{2} hat{imath}+frac{1}{2} hat{jmath}
end{aligned}
]

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