"Solving for a to Make Vector A a Unit Vector

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Homework Statement



If vector A = a( 3.0i + 4.0j) , where a is a constant, determine the value of a that makes A a unit vector.

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The Attempt at a Solution



I thought the answer is 1/5, since a unit vector has a magnitude of one therefore you need to divide it so that the magnitude of the vector equal to one.
 
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It is correct. ehild