Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 ) at time t = 0 and passes through the point Q ( − 3 , 10 , 15 ) at time t = 3 .Does this line pass through the point R ( 1 , 2 , − 4 ) ? How do you know? If the line does not pass through this point, find a new point on the line with integer coordinates that is close to R ( 1 , 2 , − 4 ) . Write parametric equations for the line that passes through the point P(0,4,0) at time t = 0 and passes through the point Q(-3, 10, 15) at time t = 3Does this line pass through the point R(1, 2, –4) ? How do you know? If the line does not pass through this point, find a new point on the line with integercoordinates that is close to R(1, 2, –4) .

We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Answered: Write parametric equations for the line…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 ) at time t = 0 and passes through the point Q ( − 3 , 10 , 15 ) at time t = 3 .
Does this line pass through the point R ( 1 , 2 , − 4 ) ? How do you know? If the line does not pass through this point, find a new point on the line with integer coordinates that is close to R ( 1 , 2 , − 4 ) .

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