= 2+ 12t Let l1 : 7 = (-1, -5, –4) + t(-16,12, 20) and l2 : = -1– 9t = -5 – 15t (a) What is the geometric relation between the lines? The lines are ? (b) Find an equation (in general form) for the plane containing both lines. If there is no such plane, or if there are infinitely many, enter "impossible". Plane equation:

Q: Find an equation for the line in the form ax + by = c, where a, b, and c are integers with no factor…

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Q: b) Find the equation of the line passing through the points P1 ( 3, 7, 9) and P, (8, 10,12).

A: Given that: Two points are: P1(3, 7, 9) and P2(8,10,12)

Q: i = (-1,-1, 7) + t (4, −8, 2), -∞ < t < ∞o.

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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: Find the point where the two lines +s and +t intersect, if it exists

A: We need to find point where lines intersect.

Q: Find x and y if (2, 5) is the midpoint of points (x, y) and (-5, 6). b. Find the point (0, y) that…

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Q: Q4-Find the Cartesian equation of the line that passes through the point (-3, 2,-1) and is parallel…

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Q: Three or more points are collinear when they all lie on the same line. Use the steps below to…

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Q: 1) Find the length of the line joining the following pairs of points: a. (1, 2), (4, 6) b. (3, 1),…

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Q: A point R(3, k) lies on the straight line joining P(4, 10) and Q(1, -2). Find the value of k.

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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: Determine whether the lines (1,1,1)+ t(1,2,-1), and (3,2,1)+(-1,-5,3) are parallel, intersect, or…

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Q: The value of p, so that the lines 17-14 = 3 2p 22 and 2-5 72 3p 1 = intersect at right angle, is…

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Q: what are the

A: Given: At a local mall , the arcade is located halfway between the food court and the movie theater.…

Q: Which of the following ordered pairs satisfy the 7x+8y0? а. (1,-5) b. (5,-1) . с. (1,1) • d. (0,0)

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Q: Are the points (−2, 1), (1, 7), and (4, 14) on the same line? Why

A: We are given three points to check if they are linear or not. Three or more points are said to be…

Q: Find the point of intersection of the two lines l1 : 7 Intersection point:

A: Introduction: The point of intersection is the intersection of two lines or curves. A point is the…

Q: Find the distance the point P(0, 2, 8) is to the line through the two points Q(1,-1,4), and R(-1,-4,…

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Q: (-3,-4) and is parallel Q.1 a) Find an equation of the line that passes through the point to the…

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