document.write( "Question 1173363: Find the vector projection of u=(7,3) onto v=(3,-3) and graph it. \n" ); document.write( "

Algebra.Com's Answer #798645 by htmentor(1343) $\"\"$ $\"About$

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The magnitude of v = sqrt(3^2 + 3^2) = sqrt(18).
\n" ); document.write( "The scalar projection is the dot product divided by the magnitude of v:
\n" ); document.write( "u.v/||v|| = 7*3 - 3*3 = 12/sqrt(18)
\n" ); document.write( "The unit vector in the direction of v = v/||v||\r
\n" ); document.write( "\n" ); document.write( "The projection vector, w, is given by the scalar projection times the
\n" ); document.write( "unit vector in the direction of v:
\n" ); document.write( "w = 12/sqrt(18)*(1/sqrt(18)(3,-3) = (2,-2)
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