Q1. The parametric equations of the lines L1, and L2 are given as: L: x=-2+1, y=3+2t, z=-t+4 L₂: x=3-1, y=4-21, z = 1 Find the distance between the two lines, and the plane determined by them.

Q: The parametric equations for a line L₁ are as follows: x = −2+3t y = −4+6t z=-5-9t Let L2 be the…

A: The parametric equations for a line through the point (x0,y0,z0) and parallel to the direction…

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…

Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

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Q: The line ℓ is given by the equations x −2y + z = 2 and x + y −3z = 4. That is, ℓ consists of all…

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Q: The lines L1 and L2 are determined by the following symmetric and parametric equations,…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-4, 0,…

A: This question is based on finding an equation of line as given that line is parallel to given line…

Q: Let A = (1, -2, 2), B = (0, -1, 3), and C = (2,c4, c), where c is a real-valued constant. Find all…

A: Let A=(1, -2, 2), B=(0, -1, 3), and C=(2, c-4, c) where c is a real valued constant.

Q: Find parametric equations for the line through the points P(-1,- 1, -4) and Q(-4,-7,7). O A. x-t-3 y…

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Q: The parametric equations for a line L₁ are as follows: x=-5-6t y = 1+6t Z=-2-4t Let L2 be the line…

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Q: Find the parametric and symmetric equations for the lines with the following conditions. (a) Passing…

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Q: Find a parametric equation for the line through the point (2,3, – 1) and perpendicular to the plane…

A: Given that The point on the line (2,3,-1) and perpendicular to the plane 8x+3y+3z=5 A vector…

Q: Determine the line of intersection of the two planes: x+y-z-2=0 and 2x-y+3z-1=0. Write the…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-3, 0,…

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Q: Let ū = (-2, –3) and d= (1,4). (a) What is the parametric equation of the line through i with…

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Q: Give an equation of the plane determined by the intersecting lines L1 and L2 = 2t 15 –t and L2 : {…

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Q: Find parametric equations of the line that satisfies the stated conditions. The line through (-5, 0,…

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Q: 8. Given the points A = (1, 2, 4), B = (-1, 1, 3), and C = (-3, -2, 5). Find the equation of the…

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

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Q: Find a set of parametric equations of the line with the given characteristics. (Use t for the…

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