document.write( "Question 1178661: The velocity vector v makes an angle of 150 degrees with the positive x-axis and is such that |v| = 5. Find v, giving your answer in the form k√ai + bj, where a and b are real numbers. \n" ); document.write( "

Algebra.Com's Answer #808292 by Edwin McCravy(20060) $\"\"$ $\"About$

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document.write( "The black vector v is 5 units long.\r\n" );
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document.write( "The right triangle formed is a 30-60-90 right triangle.\r\n" );
document.write( "Its hypotenuse is 5, the length of the black vector.\r\n" );
document.write( "The length of the short leg, the red vector, is 1/2 the hypotenuse or 5/2.\r\n" );
document.write( "It is +5/2 because it goes up.\r\n" );
document.write( "The length of the long leg, the green vector, is √3 times the short leg,\r\n" );
document.write( "which is -(5/2)√3.\r\n" );
document.write( "It is negative because it goes left.\r\n" );
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document.write( "The black vector is the vector sum of the green vector plus the red vector.\r\n" );
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document.write( "The green vector is i.\r\n" );
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document.write( "The red vector is j \r\n" );
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document.write( "So\r\n" );
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document.write( "v = i + j  <--ANSWER\r\n" );
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document.write( "Edwin

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