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Find a vector parametric equation 7 () for the line through the points P = (3, 2, 2) and @ = (1, 2, 1) for
Find a vector parametric equation 7 () for the line through the points P = (3, 2, 2) and @ = (1, 2, 1) for each of the given conditions on the parameter . (a) If #(0) = (3,2, 2) and #(6) = (1, -2, 1), then At)= (b) If #(4) = P and 7(6) = @, then A= | (c) If theE)ints P and Q correspond to the parameter values t 0 and 3, respectively, then () =| | ( a) A parametric vector ean. of the line Passing IRtrough P = (- 3, 2, 2 ) Q = ( 1, - 2 , - 1 ) 8 ( 0 ) + step ?: The vector Parametric ean is 2 ( t ) = 8 (t ) = Here, to us toars lated by 4 units. Now, we will determine as bic. 60 8 ( 6 ) = 60 - 3 + 40 ( 6- 4 ) = 1 2- 46 x 5- 4 ) =-2 - 3 18 0 = 1 2 - 86 - - 2 80 = 4 - 86 = -4 2 ) 1 2 - 2 + C ( 6 - 4 ) = - 1 = ) - 2 + 2 0 = - 1 = ) 2 0 - C =(B Now / Substituting, 8 ( t ) = =
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