Unformatted text preview: deﬁned. SOLUTION  v  = √ 2  x  = √ 2  y  = 3  z  = √ 15 v · x = 0. 4.3 Consider the vectors v 1 = h 1 2 i v 2 = h 2 1 i and v 3 = h2 1 i . (a) Compute v i · v j for each i, j = 1 , 2 , 3. (b) What are the lengths of each of the three vectors? (c) What are the angles between each of the three pairs of vectors? Is any pair orthogonal? (d) Draw a diagram showing each of the three vectors as arrows. Do the lengths and angles that you computed look right? SOLUTION (a) v 1 · v 2 = v 2 · v 1 = 4 21 /september/ 2005; 22:09 30...
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 Fall '08
 Gladue
 Calculus, Linear Algebra, Vectors, Matrices, Characteristic polynomial

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