Find a vector parametric equation r(t) for the linethrough the points P = (4, −3, 4) and Q = (3, -6, 2)for each of the given conditions on the parameter t.(a) If 7 (0)=r(t) = <4- -3t92(b) If 7(6)r(t) = <7(4, −3, 4) and 7(2) = (3,−6, 2), then=-P and 7(8) = Q, then2,6-3,10-t>t(c) If the points P and Q correspond to the parametervalues t = 0 and t = -4, respectively, thenr(t) =<4931,4-t>2-3tt‚4->24'

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Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3, −6, 2) for each of the given conditions on the parameter t. (a) If 7 (0) (4, −3, 4) and 7(2) = (3,−6, 2), then r(t) = <4- -3 t 2 9 = (b) If 7(6) r(t) = <7 = P and 7(8) = Q, then 2,6-3,10-t> (c) If the points P and Q correspond to the parameter values t = 0 and t = -4, respectively, then = r(t) = <4 t 9 31,4-t> 2 -3 - 3t ‚,4 -> 4'

Find a vector parametric equation r(t) for the line through the points P = (4, -3, 4) and Q = (3, −6, 2) for each of the given conditions on the parameter t. (a) If 7 (0) (4, −3, 4) and 7(2) = (3,−6, 2), then r(t) = <4- -3 t 2 9 = (b) If 7(6) r(t) = <7 = P and 7(8) = Q, then 2,6-3,10-t> (c) If the points P and Q correspond to the parameter values t = 0 and t = -4, respectively, then = r(t) = <4 t 9 31,4-t> 2 -3 - 3t ‚,4 -> 4'

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.3: Lines

Problem 21E

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