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20. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALCET7 11.5.509.XP. Find the point of intersection of the line through (1, -5, 1) and (5, -12, 6), and the plane given by $x - y + z = 6$. $(x, y, z) = ($___$)$

          20. [0/1 Points]
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PREVIOUS ANSWERS
LARCALCET7 11.5.509.XP.
Find the point of intersection of the line through (1, -5, 1) and (5, -12, 6), and the plane given by $x - y + z = 6$.
$(x, y, z) = ($___$)$

Added by Jody M.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

07/18/2023

Step 1

The direction vector of the line passing through two points (x1, y1, z1) and (x2, y2, z2) is given by (x2-x1, y2-y1, z2-z1). In this case, the direction vector of the line passing through (1,-5,1) and (5,-12,6) is (5-1, -12-(-5), 6-1) = (4, -7, 5). Show more…

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LARCALCET7 11.5.509.XP. Find the point of intersection of the line through (1,-5,1) and (5,-12,6), and the plane given by x-y+z=6. (x,y,z)=( , ) Need Help? 20. [0/1 Points] DETAILS PREVIOUS ANSWERS LARCALCET711.5.509.XP MY NOTES ASK YOUR TEACHER Find the point of intersection of the line through (1,-5,1) and (5,-12,6) and the plane given by x - y + z = 6. (x,y,z) = ( , ) Need Help? Submit Answer Home My Assignments Request Extension