document.write( "Question 1196493: Using the component method, solve for the resultant vector given the
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\n" ); document.write( "A = 250 km, 35^o E of N
\n" ); document.write( "B = 120 km, 60^o W of N \n" ); document.write( "

Algebra.Com's Answer #829344 by ikleyn(52872) $\"\"$ $\"About$

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\n" ); document.write( "Using the component method, solve for the resultant vector given the
\n" ); document.write( "following:
\n" ); document.write( "A = 250 km, 35^o E of N
\n" ); document.write( "B = 120 km, 60^o W of N
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\n" ); document.write( "\n" ); document.write( " Make a sketch and mark the participating angles there.\r
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document.write( "We should present vectors A and B in component form, then add the components.\r\n" );
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document.write( "In component form, A = (Ax,Ay), where Ax is x-component of the vector A \r\n" );
document.write( "                                         (perpendicular to N-direction)\r\n" );
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document.write( "                                      Ay is y-component of the vector A\r\n" );
document.write( "                                         (along N-direction)                              \r\n" );
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document.write( "    Ax = |A|*sin(35°) = 250*sin(35°),\r\n" );
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document.write( "    Ay = |A|*cos(35°) = 250*cos(35°).\r\n" );
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document.write( "Similarly for vector B: \r\n" );
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document.write( "    Bx = -|B|*sin(60°) = -120*sin(60°),\r\n" );
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document.write( "    By = |B|*cos(60°) = 120*cos(60°).\r\n" );
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document.write( "Make all necessary calculations.\r\n" );
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document.write( "Then your resultant vector is the sum (A + B) \r\n" );
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document.write( "    with x-component Ax + Bx perpendicular to N-direction and\r\n" );
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document.write( "    with y-component Ay + By parallel to N-direction.\r\n" );
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