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: Graph the following linear equations using any 2 points. 1. у %3D 2х + 5 2. у %3D— Зх + 2

A: Given that y=2x+5  We have to draw the graph of this linear equation

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

A: first find slope of given line we have to differentiate function with x 7 - 9dy/dx  = 0 dy/dx = 7/9…

Q: (x = t r:{y = -t (z = 1+ 4t concurrent, and if so, determine the point P common to them. Check if…

A: Let the equation of a line passes through the point x0,y0,z0 with the direction vector v→=l,m,n be…

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: Q3:The line L, whose equation is (= y-1 2 = -2 +z) intersects the line L2 that passes through the…

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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: Q4. Find an equation of the plane that passes through the origin and the point (1,1,1) and is…

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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: Given the two points A(1,2,3) and B(4,5,6) in 3D space, find the equation of the line passing…

A: The equation of a line in three-dimensional space can be represented in different forms.One common…

Q: y - 2 -1, 3 z - 1 2. Suppose the symmetric equations of lines l1 and l2 are 2 2 - y = z and a = 2…

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Q: What is the equation of the line perpendicular to 2x − 3y + 5 = 0 and passes through - point of…

A: Please refer to the image below

Q: What is an equation of the line perpendicular to y = -3x + 3 that contains (7,4)? O Answer: y (1/3)x…

A: SOLUTION: y = -3x + 3

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: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

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

A: Topic- equation of circle

Q: Find the equation of a line perpendicular to: a the line x+ 3y = 0 and passing through point (-3, 2)…

A: We will answer the first question since exact one was not specified. Please resubmit the question…

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: Graph the following linear equations using any 2 points. 1. у %3D 2х + 5 2. у %3D— Зх + 2

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Q: Use a system of equations to find the parabola of the form y = ax² +bx+c that goes through the three…

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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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