Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist, enter DNE.) X - 2 z - 5 2x + 3y = -5, 6 2 10 (х, у, 2) %3D Determine whether the line lies in the plane. The line ---Select--- ♥ lie in the plane.

Q: 14. Which of the following planes is the equation for the plane with an x-intercept at P(2,0,0), a…

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Q: 2:- find the line of interSection o f the plane -2x + 73 - 2324 given by 3x t6y-52=-3 f the plane

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Q: ) a) Find the point at which the given lines intersect: b) Find an equation of the plane that…

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Q: E. Find the point of intersection of the plane 2x+3y+z 5 and the line x- 3 y+4 z- 1 1 II

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Q: (vi) Find an equation of the plane that passes through the line of intersection of the planes x – z…

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Q: Find the point at which the line x(t) y(t) z(t) - 5+ 5t -6-8t intersects the z plane. - 7+8t

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Q: Q) Consider the plane  given by the equation,                                        y-2x-3z=3…

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Q: O Determine if the line and plane intersect. If so, state the solution. T: -2x+6y + 4z_4=0 L: [x, y,…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: 4x + 5y = 10 x-1/5 = y+1/-4 = z-7 now make x in y form x-1/5 = y+1/-4 -4x +4 = 5y+5 4x =-5y -1 put…

Q: Q2/ Find the equation of the plane through the point (2, 4, 5) perpendicular to the line: X=5+t,…

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Q: Find the point, P, at which the line intersects the plane. x= - 7+ 9t, y= -7-5t, z= 8- 10t; 9x – 9y…

A: Please refer to the image below

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

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Q: Q3: a) Find an equation for the plane through P(0,1,-2) perpendicular to n= 3i- 2j+k

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Q: Find the point, P, at which the line intersects the plane. x= 5- 3t, y = 4+ 6t, z = 10 - 3t; - 8x+…

A: Explained below

Q: I need the answer as soon as possible

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Q: The line (x-22-3, y = 2z) intersects the plane (x+3y-2+4= 0) at the point P, Find: a) the…

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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: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: A detailed solution is given below

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: hnd an equation of the plane through the point (1,5,4) and perpendicular to the line x =1+ 7t ) y=t,…

A: we have to find the equation of the plane through the point (1,5,4) and perpendicular to the line…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: For the solution of the problem follow the next step.

Q: 286. Find the general equation of the plane that passes through the origin and is perpendicular to…

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Q: Q5: Find the distance of the point (2. –2,1) from the line х-2 y-3 = z+2 2 4 3 measured parallel to…

A: we have to find the distance of the point (2,-2,1) from the line x-22=y-34=z+23 measured parallel to…

Q: 2. Find the point on the graph of z=-x^2-^2-xy that is the farthest above the plane 5x+4 y +=-3 (use…

A: Given Equation of graph is z=-x2-y2-xy               (1) and equation of plane is…

Q: 30. The slope of line / in the standard (x, y) plane is . Which of the following is an equation of a…

A: Givenslope of line l=m1=23To calculate: which line is perpendicular to line l.concept: Two lines are…

Q: - 2y : Sketch in one coordinate plane the circies 2x – 6y + 6 = 0. Then, find their points of…

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Q: c) Find an equation ôf the plane that contains the point (2, 0, 3) and the line z+4 x +1 = y = .

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Q: 2. On the lacrosse field, the circular region around the net, called the crease, is an area that…

A: Equation of circle with r center (a, b) and radius r is  (x - a)2 + (y - b )2 = r2 We are given…

Q: Find the equation of a) the line passing through the point (2, 1, 0) and parallel to the line X =…

A: Find the equation of (a) the line passing through the point 2,1,0 and parallel to the line x=5+2t ,…

Q: IV. Complete the table and then plot the points on the x-y plane. 1. f) 2. m(x) -

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Q: Find the point, P, at which the line intersects the plane. x= - 2+ 2t, y = - 3 + 8t, z= - 10+ 4t; 7x…

A: We have to find out the point of intersection

Q: Find an equation of the plane. The plane through the point (3, 0, 2) and perpendicular to the line x…

A: Given point : P3,0,2and the line L:x=9t, y=2-t, z=6+2tThe required plane passes through P and…

Q: The angle between the straight line = = and the x-1 y+3 %3D z-5 %3D -1 plane 4x – 2y + 4z = 9 is a)…

A: The correct option is option (e) none of them.   The detailed solution is as follows below:

Q: Q.5. D.] find the Cartesian equation of the plane r(u, v) (u,v + 2,3u-2v), -1≤u≤2 and -2≤0≤3

A: To find the cartesian equation of the plane from a given parametric equation, we need to eliminate…

Q: y. Find the exact coordinates of the point of intersection of the line x+2 = 3 and the plane 3. 2x -…

A: As per Bartleby guidelines for more than one question asked only one is to be answered please upload…

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

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Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line, x-14=y2=z-36And given plane3x+4y=-7Any  point on the line isx-14=y2=z-36=tx-1=4t,y=2t,…

Q: c) Find Proj, a. d) Find the equation of the plane (Q) passes through the point Q(-2, 1,0) and is…

A: First calculate cross product of u and v.

Q: Q5. Find an equation of the plane that is parallel to the line of intersection of the planes (x+…

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Q: Which square root equation shows a vertical compression, a right horizontal translation, and a…

A: Solved below

Q: 3) The line L: x = 3 + 2t, y = 2t, z = t_intersects the plane x + 3y -z = −4 in a point P. Find the…

A: The equation of the line L is given as x=3+2t, y=2t and z=t. The line intersects the plane x+3y-z=-4…

Q: Q4/ Show that the lines intersect and find the equation of the plane they determine. L1: X = -1+ 4t…

A: Answer

Q: L: x = 3 + 2t, y = 2t, z =t Intersects the plane x + 3y – z = -4 in a point P. Find the coordinates…

A: The line is L:x=3+2t, y=2t, z=t Intersects the plane x+3y−z=−4 Then 3+2t+32t−t=−4…

Q: Pr. #2) Find an equation of the plane. Contains the line r+3 = = and is orthogonal to the line r…

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Q: equation of the perpendicular bisector of AB. + y² + xy + 3x = 46 at the points A and B. Find the

A: Solution of given question is written in below steps.

Q: Find the point(s) of intersection (if any) of the plane and the line. (If an answer does not exist,…

A: Given line x-38=y2=z-714=tAny point on the line is of the form,x=3+8t,y=2t,z=7+14t,Put…