A) \[10\sqrt{3}\] unit
B) \[\frac{10}{\sqrt{3}}\] unit
C) \[15\sqrt{3}\] unit
D) 10 unit
Correct Answer: A
Solution :
[a] \[{{A}_{x}}={{A}_{y}}={{A}_{z}}\] Now, \[A\,=\,\sqrt{A_{x}^{2}+\,A_{y}^{2}\,A_{z}^{2}}=\,\sqrt{3}\,{{A}_{x}}\] \[\therefore \] \[{{A}_{x}}=\,\frac{A}{\sqrt{3}}\,=\frac{30}{\sqrt{3}}\,=\,10\sqrt{3}\]
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