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chapter12examples

# chapter12examples - 12.1 12.2 Example:(a)A(4,1)B(1,2...

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12.1 1  Find the center and radius of the sphere having the equation                                                                   12.2 Example: Find the vector represented by the directed line segment with initial point A and terminal point B. (a)  A(4,-1)   B(1,2) (b)  A(2,-4,1)    B(0,2,4) Example: For  3,2, 1 , 0,6,7 = - = a b   find each of the following. (a)   a            (b)  2 a      (c)   + a b     (d)   - a b    (e)   3 +4 a b Example: Find a unit vector that has the same direction as each of the given vectors. (a)   1, 4,8 -          (b)   2 -4 +7 i j k 12.3 Example: Find the dot product of  , 2 = - = + a i k b i j . Example: Determine whether the given vectors are orthogonal by using the dot product. If they are not orthogonal, find the  angle between them. ( ) 1,5,2

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chapter12examples - 12.1 12.2 Example:(a)A(4,1)B(1,2...

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