The positions of two planes are given with the parametric equations below. Assuming they are at the same altitude, will the planes collide? If so, when? Plane 1: x (t) = 2t², y(t) = 4t – 3 Plane 2: x (t) = t² + 9, y(t) = 3t

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Q: The parametric equations for a line L₁ are as follows: x=-4+6t y=3-4t z = 1+4t Let L₂ be the line…

A: The given problem is to find the point P on the line L2. Given Line L2 is parallel to line L1 and…

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A: Given query is to find parametric equation.

Q: Find the rectangular equation for the following two parametric equations. x = 2t – 1 and y = t² + 6…

A: Given equation is  x = 2t-1            ..............(i) And y = t2+6          .............(ii) So,…

Q: 4. Find the intersection of the two planes. T₁: X+ 2y+3z + 1 = 0 T₂: 3x + 2y +z+2 = 0

A: To find the intersection of the following two planes.

Q: Match each plot with the corresponding parametric equations. У c(t) = (2 – t, t2 - 9) - t3) c(t) =…

A: The given graph is a line.  So the relation between x and y ordinates must be linear.

Q: If not, find a parametric equation of the line of intersection of the two planes. Find, correct to…

A: