document.write( "Question 1173114: For each list U below, come up with a non-trivial (not all zeros) list V that makes the dot-product of U and V equal to zero.
\n" ); document.write( "U = [4 5];
\n" ); document.write( "U = [-1 8];
\n" ); document.write( "U = [0.5 -0.6];
\n" ); document.write( "U = [3 1 -1 6];
\n" ); document.write( "U = [-1 2 -10 -3];\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Consider the lists you came up with for a-c in #2. Plot each list U on graph paper by drawing a line from the origin (x=0, y=0) to the point indicated by each list (for part (a), this would mean the point x=4, y=5). Plot the list V that you created to yield a dot-product of zero with U. What do you notice about the relationship between the lines for U and V in each pair?\r
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #798273 by ikleyn(52803)\"\" \"About 
You can put this solution on YOUR website!
.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Hey, could you explain me please how I can plot 4D vectors of 4D space on graph paper ?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Do you understand what you write in your post ?\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "
\n" );