document.write( "Question 1206737: How do you Find the projection of u onto v.
\n" ); document.write( "u = −5, −4
\n" ); document.write( "v = −8, −1\r
\n" ); document.write( "\n" ); document.write( "And my second question was, how do you write u as the sum of two orthogonal vectors, one of which is proj v u?
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Algebra.Com's Answer #844354 by MathLover1(20850) $\"\"$ $\"About$

You can put this solution on YOUR website!
The vector projection is given by \r
\n" ); document.write( "\n" ); document.write( " $\"proj%5Bu%5D%28v%29=%28%28v%2Au%29%2Fu%5E2%29%2Au\"$ \r
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\n" ); document.write( "vectors dot product $\"u%2Av=%28-5%29%28-8%29%2B%28-4%29%28-1%29=40%2B4=44\"$ \r
\n" ); document.write( "\n" ); document.write( "magnitude of vector $\"u=sqrt%28%28-8%29%5E2%2B%28-1%29%5E2%29=sqrt%2865%29\"$ \r
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\n" ); document.write( "\n" ); document.write( " $\"proj%5Bu%5D%28v%29=%2844%2F%28sqrt%2865%29%29%5E2%29\"$ *< $\"-8\"$ , $\"-1\"$ >\r
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\n" ); document.write( "\n" ); document.write( " $\"proj%5Bu%5D%28v%29=%2844%2F65%29\"$ *< $\"-8\"$ , $\"-1\"$ >....scalar multiplication is\r
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\n" ); document.write( "\n" ); document.write( " $\"proj%5Bu%5D%28v%29\"$ =< $\"-8%2844%2F65%29\"$ , $\"-1%2844%2F65%29\"$ )>\r
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\n" ); document.write( "\n" ); document.write( " $\"proj%5Bu%5D%28v%29\"$ =< $\"-352%2F65\"$ , $\"-44%2F65\"$ >\r
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\n" ); document.write( "\n" ); document.write( " $\"proj%5Bu%5D%28v%29\"$ ≈< $\"-5.415\"$ , $\"-0.677\"$ >\r
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