document.write( "Question 1086193: The unit vector perpendicular to vector a`=i-2j+3k and b`=+2i+5j is...... \n" ); document.write( "

Algebra.Com's Answer #700373 by Fombitz(32388) $\"\"$ $\"About$

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The cross product of the two vectors is perpendicular to both vectors,
\n" ); document.write( " $\"A=%28matrix%283%2C3%2C%0D%0Ai%2Cj%2Ck%2C%0D%0A1%2C-2%2C3%2C%0D%0A2%2C5%2C0%29%29\"$
\n" ); document.write( " $\"A=%28-2%280%29-3%285%29%29i%2B%283%282%29-0%281%29%29j%2B%281%285%29-2%28-2%29%29k\"$
\n" ); document.write( " $\"A=-15i%2B6j%2B9k\"$
\n" ); document.write( "Now find the magnitude of A,
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\n" ); document.write( "To make the unit vector, divide A by its magnitude,
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\n" ); document.write( "\n" ); document.write( " $\"u%5BA%5D=%28sqrt%2838%29%2F38%29%28-5i%2B2j%2B3k%29\"$ \r
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