document.write( "Question 1190373: Find u · v, where 𝜃 is the angle between u and v. ||u||=16 ||v||= 64 theta= 3pi/4 \n" ); document.write( "

Algebra.Com's Answer #821998 by math_tutor2020(3817) $\"\"$ $\"About$

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\n" ); document.write( "u dot v = |u|*|v|*cos(theta)
\n" ); document.write( "u dot v = 16*64*cos(3pi/4)
\n" ); document.write( "u dot v = 16*64*(-sqrt(2)/2)
\n" ); document.write( "u dot v = -512*sqrt(2)\r
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\n" ); document.write( "\n" ); document.write( "Note: the dot product is nonzero, so the vectors are not orthogonal (i.e. they aren't perpendicular).
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