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If "u = (2,2,1)", "v = (3,1,0)" and "w = (1,7,8)", verify that "u (dot) (v + w) = u (dot) v + u (dot) w". My work: LHS: u (dot) (v + w) = (2,2,1) (dot) (4,6,8) = [(2,2,1) (dot) (3,1,0)] + [(2,2,1) (dot) (1,7,8)] = [u (dot)
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Given a and b unit vectors if a+b=square root 3, determine (2a5b)dot(b+3a) First I foiled the whole thing: =2(a dot b)+ 6 (a dot a)  5(b dpt b) 15(a dot b) =13(a dot b) + 6(a dot a)  5(b dot b) =13(1)(1)+65 =13+1 =12
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Why are some of these scalars and others are vectors? What's the difference and how can you tell? 1. a dot (b x c) 2. (a dot b) x (b dot c) 3. (a + b) dot c 4. a x (b dot c) 5. (a x b) dot (b x c) 6. (a + b) x c 7. a dot (b dot c)
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A researcher wishes to compare the effects of 2 fertilizers on the yield of a soybean crop. She has 20 plots of land available and she decides to use a paired experiment — using 10 pairs of plots. Thus, she will: a. Use a table
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