1 Consider the line l : 4 +t -1 and the plane a : x – y + z = -9. 11 (a) Determine whether l and a intersect. (b) If l and T intersect, find the point of intersection and the acute angle between the line and the plane. If l and 7 do not intersect, find the shortest distance between l and T. (c) Give an example of a system of three equations representing two parallel planes and the third plane that is perpendicular to the first two.

Q: Find an equation for the plane through the point (0, –4, 5) which is perpendicular to the line…

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Q: Consider the following equations: (1) 2x-3y+z=7 (2) - +4y=z=2 (3) -x-2y + 5z = √2 (4) 2x + xy - 3z=7…

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Q: (b) Describe the relationship between each pair of planes, and determine any intersection (iii)…

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Q: determine the solution set of the linear system: x3-x4=-2 x1-x2+2x4=1 -3x1+3x2+2x3-8x4=-7 write your…

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Q: 5x + 7y = 1 ax + by = 1 In the given pair of equations, a and b are constants. The graph of this…

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Q: For the plane that passes through (−4,1,5), (−7,−3,1), and (−2,3,9), the implicit equation is:

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Q: B. Determine the symmetric equation of the line going through the points P(-2,0,3) and Q(1,3,7).

A: To find  The symmetric equation of the line going through the points p(-2,0,3) and Q(1,3,7)

Q: You work for a radio station with a broadcast radius of 100 miles. On a particular coordinate plane,…

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Q: The equation of the line passing through the point A(-3,5) and perpendicular to 7x-9y+1=0 is: O a. y…

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Q: Find an equation of the plane that contains the two parallel lines and x −1 y + 1 3 2 x + 3 y 4 3 2…

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