document.write( "Question 1149366: Two vectors p and q act an angle sixty degrees with each other. If p is 20 unit and q is 8 unit. Find the resultant and its magnitude \n" ); document.write( "

Algebra.Com's Answer #770727 by greenestamps(13200) $\"\"$ $\"About$

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\n" ); document.write( "If we are given only the angle between the two vectors, we can determine the magnitude of the resultant vector; but we have no information that allows us to determine that vector.

\n" ); document.write( "For simplicity, let vector p be horizontal, with vector q making an angle of 60 degrees with p. Then the x component of the resultant vector is

\n" ); document.write( " $\"20%2B8%2Acos%2860%29+=+20%2B8%281%2F2%29+=+20%2B4+=+24\"$

\n" ); document.write( "and the y component is

\n" ); document.write( " $\"8%2Asin%2860%29+=+8%2A%28sqrt%283%29%2F2%29+=+4%2Asqrt%283%29\"$

\n" ); document.write( "Then the magnitude of the resultant vector, using the Pythagorean Theorem, is

\n" ); document.write( " $\"sqrt%28%2824%29%5E2%2B%284%2Asqrt%283%29%29%5E2%29\"$

\n" ); document.write( "I leave it to you to do the calculation....

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