H.w.3 Find equation of the Plane passes through the origin and the point P(Is) and Par alle I t- the line of intersection of the Planrs (X+y+22%3D16) and (X-y- =4).

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: Q2: Find the equation of the plane that pass through the point P(-1,4,2) and containing the line of…

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Q: (d) Find the Cartesian equation of the plane that contains both the line L2 and the point A

A: Introduction: The scalar product of two vectors OA and OB is given by, OA·OB=OAOBcosθ The vector…

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

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Q: what is the equation of the plane parallel to the xy-plane and passing through the point  P0=(1    0…

A: We can write the equation of plane in general form and satisfies by given point

Q: The equation of the plane passing through the point (0, 0, 4) and perpendicular to 4 is: the line 4…

A: Equation of plane

Q: Find an equation of the plane that passes through the point (-1, 4, 2) and contains the line of the…

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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: Among all the points on the graph of z = 10 – a? - y? above the plane a+ 2y +32 = 0, find the point…

A: We have to find out the farthest point from the given plane

Q: Find the equation of a plane through the point (- 1,1, 3) and orthogonal to the line ( x(t) = – 7 –…

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

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Q: H.W: Find the point where the line 8 +2t, y= -2t , z= 1+t intersects the plane 3x + 2y +6z = 6

A: We have to find the point where the line x=83+2t, y=-2t, z=1+t intersects the plane 3x+2y+6z=6.

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 equation of the set of points located three units away from the plane -2х + бу + 3z + 1…

A: Given equation of the plane, -2x+6y+3z+1=0

Q: Find the​ distance, d, between the point S(6,9,10) and the plane 10x+7y+1z=60.

A: Answer is 73/5√6.

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: Find the equation of the plane containing the point P(1, 1, –1) and the line -4+t 1- t 1+t

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Q: 12. Find the equation of the plane throuch (4.1.0) and perpendicular to each of the pianes 2x - 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,…

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Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: ....... Q4): A: Find the equation of the plane passing through p(2,-1,-1) and Q(1,2,3) and…

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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 equation of the plane through the point P=(5,2,5) and parallel to the plane 2y−4x−z=9. z=

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Q: Solve the following and show the complete solution 1. Find the equation of the plane through (-3, 8,…

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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: Q8) The distance between the line x=-1+t, y3D3+2t, z=-t and the plane 2x-2y-2z=3 is: *

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Q: Find an equation for the plane through P0(-3, 0, 7) perpendicular to n = 5i + 2j - k.

A: given that the plane passes through (-3,0,7) perpendicular to n=5i+2j-k. we need to find the…

Q: Find an equation of the plane that crosses the x-axis at 3, the y-axis at 2, and the z-axis at 5.

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Q: The plane containing the point (2,5,0) and parallel to the plane 3x – 7y + 6z = 8 has equation Ах +…

A: Recall:      The equation of the plane parallel to Ax+By+Cz=D and passes through the point  α,β,γ ,…

Q: 1. Find the equation of the plane that contains the line point (1,3, 2). 무 =D북3부 md the

A: Let's find.

Q: (b) Find an equation of the plane passing through the point A(0, 9,2) and parallel to the plane 13x…

A: Given that, the given point is A(0,9,2) the parallel line is 13x+2y-z=10. To find the equation of…

Q: 4. Write the equation of the plane parallel to the z-axis, with xy-trace x + y - 2 = 0.

A: Write the equation of the plane parallel to z axis, with xy trace x+y-2=0.

Q: Find the equation of a plane that passes through the point (0,0,0) and contains the line x = 2 -t y…

A: Here we have to find the equation of a plane that passes through the point (0,0,0) and contains the…

Q: O Find an equation for the plane through the point P = (3, −2, 4) that is perpendicular to the line…

A: Given problem:- Find an equation for the plane through the point P = (3, -2, 4) that is…

Q: H.W: Find the point where the line 8 x=+ 2t , y= -2t , = 1+t intersects the plane 3x + 2y +6z = 6

A: Given that:                    The line with equation:      x=83+2t, y=-2t, z=1+t     & Plane:…

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: H.W: Find the point where the line y=-2t, 1+t intersects the plane 3x+2y +6z 6

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Q: c) Find an equation for the plane parallel to the plane 2x – y + 2z = -4 if the point (3, 2, –1) is…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: Given the point P (2, 4, –1) and the line L: x = 1+ t; y=2+ 4t ; = =-3t Find the equation of the…

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Q: ) Find the equation of the plane passes through the point P(2, 2, 3) and perpendicular to the two…

A: To find the equation of the plane that passes through the point P (2, 2, 3) and perpendicular to the…

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

A: We have to find angle between two planes

Q: Find the equation of the plane perpendicular to the y-axis and passing through the point (3,2,-2). O…

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Q: :: Find the y-coordinate of the point on the plane x+ 6y + 7z = 3 that is closest to the point (-14,…

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Q: Q2) Find the distance from the point P (1, 2, 3) to the plane x-3y + 2z= 4.

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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: H.W 8- Find equations of the planes that are parallel to the plane x +2y- 2z= 1 and two units away…

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Q: Find the equation of the plane that contains the point P(3,5, –1) and the line = 4 – t, y = –1+ 2t,…

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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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Q: Q7) Find the equation of the set of points located three units away from the plane - 2х + бу + 3z…

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