Find the point, P, at which the line intersects the plane. x= 5+ 4t, y = -6 – 9t, z = - 9+ 8t; – 4x + 7y – 9z= 4 The point, P, at which the line intersects the plane is ( | I D. (Simplify your answer. Type an ordered triple.)

Q: Find the point, P, at which the line intersects the plane. x= - 3+ 10t, y = 9- 9t, z= 9- 7t; - 10x +…

A: The objective is to find the point of P, at which the line intersects the plane.

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

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Q: Find the x-, y-, and z-intercepts of the plane. (If an answer does not exist, enter Di 4x - 5y + 2z…

A: for x intercept, y=z=0 for y intercept, x=z=0 for z intercept, x=y=0

Q: Find an equation of the plane.  The plane through the point (2, 0, 5) and perpendicular to the line…

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Q: Find any line equation that does not intersect the plane 2x – 5y + 3z 4. -

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Q: Draw the plane given by the equation. 3x + 2y − 6z = 12

A: To draw3x+2y-6z=12

Q: O Find an equation for the plane Hhrought (1,-1, 3) parallel to the plane 3xay+Z=7

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

Q: Find the equation for the plane through Po(7.- 3. - 1) perpendicular to the following line. x=7+t,…

A: Ans     equation  of  line          x=7+t,   y=-3-3t,  z=-2t  or   x-71=y+3-3=z+0-2

Q: Use the plane shown below to answer the questions. Let A = 3, B = 4, and C = 24. (a) Find an…

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Q: Q5) the value of the constant a for which the line x=2+t,y=2+3t,z=3+t and the plane ax+y-2z-7=0 are…

A: We will use definition.

Q: On the line of intersection of the planes y+2z=12 and x+y=6, find the point (a,b,c) that is closest…

A: Given planes, y+2z=12andx+y=6 Consider the point of intersection be x,y,z.

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

A: Note: As per our guidelines we are supposed to answer only one question if there are multiple…

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: Write the equation of the plane that contains the point P(1, 3, 5) and the line L: x = 4t, y = 6 +…

A: It can be solved using properties of plane.

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: Find the point (if it exists) at which the following plane and line intersect. -2x-10y-10z = -19 and…

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Q: b) Determine, showing steps, whether the line [x, y, z] = []+¹] intersects the plane: 3 x + 7y + 8z…

A: We have to find the intersection of plane and line.

Q: Find the distance the point P(1, -1, 4), is to the plane through the three points Q(0, -4, 0), R(-5,…

A: Topic-coardinate geometry

Q: Q1 What is the distance between the point (2,8, 5) and the plane r- 2y-2z = 1 ? a) 5 b) 25 c) 9 d) {…

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Q: Find the equation for the plane through Po(6, – 3,7) perpendicular to the following line. x= 6+t, y…

A: Given equation of the lines are, x=6+t, y=-3-5t, z=5t The given equation of the lines can be written…

Q: The line L(t) = (3+t, 12+5t, -12-5t) intersects the plane 5x - 5y = 15 at what point?

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Q: draw the plane given by the equation  x + 2y = 6

A: To draw the plane given by the equation  x + 2y = 6

Q: Find the equation of a plane through the intersection point of the lines r(t) = and 7(s)= where r, s…

A: The equation of plane is mainly given by the normal vector calculation. The normal vector to the…

Q: a) Find the equation of line of intersection of the following planes 3x – 4y + 4z - 29 = 0 , 6x – 8y…

A: As per guidelines we are allowed to solve one question at a time. Kindly repost the rest question…

Q: ough the point P(6, - 2, - 7) and parallel to the plane 4x + 7y+ Ty+2z = - 4 Ey + 4z = - 4 Ey - 7z =…

A: Plane : 4x+7y+2z = -9 Point : (6,-2,-7)

Q: Q3/ Find the equation of the plane that contains the line 3-х 2+y = 3 – z, and the point P (1, 4,…

A: Equation of the plane

Q: Find the values of x and y for which the figure must be a parallelogram. 8. 5x - 4 2y 2x + 14 -

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Q: Determine whether the line L: = 3- 2t, y=4+ 2t, z = 5+ 2t. is parallel to the plane a-y+3z 7.

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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: b) Find the equation of the plane given by the shaded graph below C(0,0.3) B(0,2.0) y A(1,0,0)

A: Topic- equation of plane in 3D

Q: Determine the intersection point of the two lines or show that they do not intersect. a. Does the…

A: Please see the answer below.

Q: Find the intercepts of the plane 5x + y + 9z = 45. Write your answers as points (a, b, c) where a,…

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Q: Q/ Find the angle between the planes (x+y+2=1)and (x-24+32%-1).And find the Symmetric equations for…

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Q: Which point(s) lie in the plane 2x + 3y + 4z = 24? a) (0, 0, 6) c) (4, 4, 1) b) (0, 3, 4) d) (-2, 6,…

A: Given: 2x+3y+4z=24 For finding which point lie on given equation of plane, we put each point on…

Q: Find the point at which the line (-3, -4,-2)+t(5, -4,-2) intersects the plane -5x +3y+z= -155.

A: Given: line equation: -3,-4,-2 +t (5,-4,-2) Then equation of line from parametric equation is given…

Q: Find the slopes-intercept form of the plane 9x + 4y + 6z = 24, then graph the plane. * है

A: We have to find the slopes-intercept form of the plane.

Q: Write the equation for the plane through the point P(- 4,4,2) and perpendicular to the line x =4+7t,…

A: Explanation of the answer is as follows

Q: C:- find the line of interseetion of the plane -2x +7-2=24 given by 3x +6y-52=-3 f the plane

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A: Given problem:- Find the distance from the plane to the origin. The plane has A(1,1,0) B (-1,0,1)…

Q: Find the symmetric equation of the line that is an intersection of the planes a: x-4y + 2z-2 = 0 and…

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Q: ₁:9x+13y-2z=-4 x = 5+2t y=-5-4t z = 2+3t

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Q: Find the equation of a plane that contains the lines and - 2+5. O A 2x-y-22 = 42 O B. 2x y 2z -10 O…

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Q: Write an equation for the plane that contains the x-axis and the point (0, 6, 12). O x = 2y O z = 6x…

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Q: Find the equation for the line passing through and perpendicular to Hhe plane P= (!,2,-3)…

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Q: Find the​ point, P, at which the line intersects the plane. x=-5-6t , y=9-8t , z=8+7t ; 2x-4y-9z=-2…

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Q: Find the point (if it exists) at which the following plane and line intersect. y = - 10; r(t) = (4t…

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Q: 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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