document.write( "Question 1206234: Two vectors a and B have components in arbitrary units ax=3.2, ay= 1.6, bx=0.50, by=4.5
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\n" ); document.write( "b) Find the components of a vector C that is perpendicular to a and is in the x-y plane, and has magnitude of 5.0 units \n" ); document.write( "

Algebra.Com's Answer #843529 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "Two vectors a and B have components in arbitrary units ax=3.2, ay= 1.6, bx=0.50, by=4.5
\n" ); document.write( "a) find the angle between a and B
\n" ); document.write( "b) Find the components of a vector C that is perpendicular to a and is in the x-y plane,
\n" ); document.write( "and has magnitude of 5.0 units
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document.write( "We are given vectors A and B (both letters are CAPITAL).\r\n" );
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document.write( "    A = (Ax,Ay) = (3.2,1.6),  B = (Bx,By) = (0.5,4.5).\r\n" );
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document.write( "To find the angle  between vectors A and B, use the cosine formula \r\n" );
document.write( "via the scalar product of the vectors\r\n" );
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document.write( "     =  =  = 0.54325  (rounded).\r\n" );
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document.write( "So,   = arccos(0.54325}}} = 0.99649 radians = 57.095 degrees  (rounded).\r\n" );
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\n" ); document.write( "\n" ); document.write( "From my post, learn BOTH \r
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document.write( "    (a)  how to solve the problem, and \r\n" );
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document.write( "    (b)  how to write vectors and their components consistently.\r\n" );
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