Find a plane containing the point (-3,3,-3) and the line F(t) = < 8, 3, 7 > +t< - 4, – 8, – 6>

Q: Find b such that (2, -1), (3, 2), and (b, 5) lie on a line.

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Q: Which of the points P = (-1,4,-7) and Q = (6,-1,5) is closest to the z-axis? OQ (6,-1,5) OQ (6,-1,0)…

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Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: et L1 be the line that passes through (2, 1,0) in the direction of (1, -1,2) and L2 be the line that…

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Q: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

A: Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).

Q: The points (x, -5) and (2, y) are on the line containing the points (-14, 7) and (10, 1). What is…

A: equation of line containing two points (x1,x2) and (y1,y2) is y-y1=y2-y1x2-x1x-x1

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: Show that the line [3, 2, 3] passes through the point of intersection of the lines [2, 1, 1] and…

A: It has to be proved that the line 3,2,3 passes through the point of intersection of the lines 2,1,1…

Q: Find all points that simultaneously lie 3 units from each of the points (2, 0, 0), (0, 2, 0), and…

A: Let such a point is (x,y,z)

Q: Find the distance from the point (-7,-8,5) to the line ä(t) =(2, 5, 3)t + (-1, 3, 4).

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Q: Find the distance from the point (8,-2,-4) to the line ā(t) = (-1,-4, 1)t + (-5,5,8).

A: We will solve the given problem,

Q: Plot the points A(5, -2), B(-5, -2), C(5, 2), D(-5, 2), E(3, 0), and F(0, 3) on a coordinate plane.

A: To plot the points A(5,-2), B(-5,-2), C(5,2), D(-5,2), E(3,0), F(0,3)

Q: Find the value of k so that the line containing the points (1,6) and (k,0) is parallel to the line…

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Q: Find the distance from the point (-3,0,-7) to the line a(t)=t +

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