1. Write parametric equations AND a vector equation to describe a line that passes through the points (3,-2, 0) and (-1,0,7). Parametric equations: = y(t) = = Vector equation: r(t) = For the line that you found above in problem 1, find the coordinates of the point where that line intersects the plane x + y - 4z=-74. Coordinates of the intersection point: N

Q: 4. Write parametric and symmetric equation of the line passing through the point (-3, 5, 4) in…

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Q: Find the distance between the point  and the line given by the set of parametric equations.…

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Q: Find the parametric equation of the lines passing through (4, -2, 5) and (-3, 0, 6)?

A: Consider the two given points (4,-2,5) and (-3,0,6). The objective of the problem is to find the…

Q: Write parametric equations for the line that passes through the point P ( 0 , 4 , 0 )  at time t = 0…

A: We know that the equation of the line passing through the points x1,y1,z1 and x2,y2,z2 is given by…

Q: Where does the line with parametric equations −1+3t y = 2 - 2t 2 = 3+ t intersect the plane 3x + y -…

A: Given parametric equation of line x = -1 + 3t y = 2 - 2t z = 3 + t Given plane 3x + y - 4z = -4

Q: 5. A line is defined by the parametric equations x = -2 – t, and y = 4+ 2t, te R (a) Does the point…

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Q: Find the parametric equation for the line where the planes -7x + 7y - z = 20 and 2x + 7y + 2z = 23…

A: Please see the below steps for detailed solution.Explanation:Step 1: Given −7x+7y−z=20 and…

Q: Consider the line passing through the points (2, -3,4) and (5,10, -12). Describe the line by a.…

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Q: Find parametric equations for the line described below. The line through the point P(2, 5, 0) and…

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Q: 6. (a) Find parametric equations for the line through A = (1, 2, 3) and B = (0, 2, 2). (b) Find the…

A: Solve for the given

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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