document.write( "Question 1154874: Find the lengths of both altitudes in the parallelogram determined by [2, 3] and [−5, 7]. \n" ); document.write( "

Algebra.Com's Answer #777559 by ikleyn(52781) $\"\"$ $\"About$

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document.write( "The area of the parallelogram is the absolute value of this determinant comprised of the given vectors' components \r\n" );
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document.write( "   det  = 2*7 - 3*(-5) = 14 + 15 = 29.\r\n" );
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document.write( "So, the area of the parallelogram is 29 square units.\r\n" );
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document.write( "The length of the vector [2,3] is   =  = .\r\n" );
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document.write( "Hence, the height of the parallelogram drawn to this side  [2,3]  is  .\r\n" );
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document.write( "The length of the vector [-5,7] is   =  = .\r\n" );
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document.write( "Hence, the height of the parallelogram drawn to this side  [-5,7]  is  .\r\n" );
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