6. Find the intersection of the line / and the plane . 1:7=(4,-1,4) +t(5,-2,3) x: 2x+5y+z+2=0

Q: Find the equations of the line formed by the intersection of the planes P1= x-6y+2z=12 and…

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Q: r1(t) = (3, –6, 2) +t (-4, 2, –4) r2(t) = (-3, 3, – 10) + t (2, 1, 0) Find the point of…

A: Lines r1 and r2 can be rewritten as follows:

Q: 3- Find an equation of the Plane perpendicular to the line through (2,2,-9) and (7,-1,3) and…

A: To Find: Equation of plane perpendicular to the line through the points (2,2,-9) and (7,-1,3) and…

Q: The plane II contains the points (1,2,3), (0.1.2) and (2,3,0). The line L passes through the points…

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Q: 2. Write the symmetric equation of a line through the points (0, 2,8) and (3,-3, 4). Find where this…

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Q: Plane continued 32. (-5, 2) and (1, 4) 33. (1, 3) and (6, 1) Ay -4 4 -2 -2 -4 -2 -2 2 -2 -2 34. (0,…

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Q: Find the intersection of the line and plane: 3z (2x + y) = -5, P = ( r(t) = (3,-1,0) + t (-3, -2,…

A: Given line : r(t)= (3,-1,0)+t(-3,-2,-1) Given plane : 3z-(2x+y)=-5                       2x+y-3z-5=0…

Q: Consider the lines r(t) = (2-3, +4--1) and r(s) (+4,- +3,3+6). A. Show that these two lines…

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Q: Find equations for the followingineF - The line through y and parallel to Z-axis

A: To find the equation of the line that passes through 1, 1, 1 and parallel to the z‐axis.