Solve the Problem $\mathrm { G } = \mathrm { P } ( \mathrm { x } , \mathrm { y } ) \mathbf { i } + \mathrm { Q } ( \mathrm { x } , \mathrm { y } ) \mathbf { j }$

question 166

Multiple Choice

Solve the problem.
-Find a field $\mathrm { G } = \mathrm { P } ( \mathrm { x } , \mathrm { y } ) \mathbf { i } + \mathrm { Q } ( \mathrm { x } , \mathrm { y } ) \mathbf { j }$ in the $x y - p l a n e$ with the property that at any point $( a , b ) \neq ( 0,0 ) , \mathrm { G }$ is a unit vector pointing away from the origin.

• A) \(- \frac { x i + y j } { \sqrt { x ^ { 2 } + y ^ { 2 } } }\)
• B) \(x i + y j\)
• C) \(\frac { x i + y j } { \sqrt { x ^ { 2 } + y ^ { 2 } } }\)
• D) \(\frac { x i - y j } { \sqrt { x ^ { 2 } - y ^ { 2 } } }\)

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