: MATH 3550 x-() . WeBWorK : MATH-2470 × area of a parallelogram webwork.piedmon

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: MATH 3550 x-() . WeBWorK : MATH-2470 × area of a parallelogram webwork.piedmont.edu/webwork2/MATH-3550-Fall-20 17/Homework2/9/ Work Cwebwork math 3550 fal 2017 homework2 r 9 ets Homework2: Problem 9 PreviousProblem List Neod (1 point) ri(t) (0.5, 12,4) +t (3,-4,-2) F(c) (3,7,5) +t(-1,3,-2) Find the point of intersection, P, of the ines ri and r P (31/8,608 14/8) ts Problems Preview My Answers Submit Answers You have aterspted this probiem 4 times Your overal recorded sore is 7% You have unimitod aftompts temaning Email instructor n 11 4 m 13 m 14/ m 154

Explanation / Answer

Solution:

At point of intersection

r1(t) = r2(t)

therefore

we have to find the value of t where there vector meet

(0.5 ,12 , 4) + t ( 3,-4,-2 ) = (3 , 7 ,5 ) + t (-1 ,3,-2)

now comparing both sidee

(0.5 +3t ) = (3 -t )

==> 4t = 2.5

==> t = 0.625

12-4t = 7 +3u

==> 7t = 5

==> t = 5/7

4 -2t = 5 -2t

==> 2t -2t =1

Not possilble

as we can see that we are getting different values of t

therefore these two vectors don't intersect any point P

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