document.write( "Question 1196449: Given two vectors with the following measurements: A = 40.0 m, S and B= 12.50 m, N. What is the magnitude and direction of the resultant vector as express by the correct number of significant figures?
\n" ); document.write( " A. + 28 m B. -27.5 m C. -28 m, D. + 27.5 m
\n" ); document.write( "

Algebra.Com's Answer #829282 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!
It sounds like vector A is pointing south and vector B is pointing north.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Furthermore it seems like the magnitude of A is 40 meters, and B is 12.50 meters\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Because the vectors point in completely opposite directions, we subtract their magnitudes: 40.0-12.50 = 27.5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "The result is made negative because the magnitude pulling south (40) is greater than the magnitude pulling north (12.5)
\n" ); document.write( "Think of it like vector A winning the tug-of-war.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Another way to think of it is to say -40 + 12.5 = -27.5\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: B. -27.5 m
\n" ); document.write( "
\n" );