SOLUTION: 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.
U = [4 5];
U = [-1 8];
U = [0.5 -0.6];
U = [3 1 -1
Algebra ->
Vectors
-> SOLUTION: 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.
U = [4 5];
U = [-1 8];
U = [0.5 -0.6];
U = [3 1 -1
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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.
U = [4 5];
U = [-1 8];
U = [0.5 -0.6];
U = [3 1 -1 6];
U = [-1 2 -10 -3];
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?
