Find the intersection r(t) = ( − 2, — 7, 5)t + ( − 4, − 8, 5). of the plane 3x + 2y + z = 8 and the line

Q: Find the intersection of the lines r(t)=⟨1−2t,13+6t,9+8t⟩r(t)=⟨1−2t,13+6t,9+8t⟩ and…

A: Points are:-

Q: On a map, 4 cm represents 2.5 km. If the distance between town A and town B on the map is 6.4 cm,…

A: The Scale of a Map: Ratio between the distance on the paper and the actual distance on the ground is…

Q: b) Use the idea in part (a) to determine an explicit one-to-one correspondence between zt and the…

A: as you asked only the solution for (b) , the solution of the part (b) is given below...

Q: Find the point at which the line (-3, 4, 2) +t(-4, 3, 1) intersects the plane -4x + y – 5z = 76.

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Q: Find the equation of the plane that passes through the point (10, -8, 5) and contains the line y-2…

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Q: Find the plane that contains:  P1(-1,1,-2), P2(-2,2,4),P3(0,2,-2)

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Q: Find an equation for the plane through P(1,4,4) that contains the line of intersection of the planes…

A: Let the equation of the plane that contains the line of intersection of the planes 3x-y+3z=-1 and…

Q: Determine if the line given by r(t)=(-2t, 2+7t, -1-4t) intersects the plane given by 4x+9y-2z =-8…

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Q: Find the distance of the point (4, 2, -4) from the line r(t) = (1+2t, 1+ 2t, 7 - 3t).

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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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