Find an equation of the plane. The plane through the point (-3, 7, 10) and perpendicular to the line x = 5 + t, y = 2t, z = 3 - 3t

Q: Find the equation of the plane that contains the point (5, 2, 7) and the line r(t) =

A: Topic = Geometry

Q: Find an equation of the plane. The plane through the point (2, 0, 8) and perpendicular to the line…

A: The given line has direction ratio= (7, -1, 3) Given that the line is perpendicular to the plane. So…

Q: (a) Find the point at which the given lines intersect. (2, 2, 0) + t(2, –2, 2) (4, 0, 2) + s(-2, 2,…

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Q: Write the equation of a plane that intersects at the coordinate axes OX and OY segments 2 and -17…

A: Given that: Intercepts of  a plane with coordinate axes: OX=2 and OY=-17and Plane passes through…

Q: Find the equation for the plane through the points Po(-3, - 3,3), Qo(1, - 2, - 3), and Ro(0,4,4)-…

A: NOTE: Refresh your page if you can't see any equations. . 3 points are

Q: Find the equation for the plane through the points Po(4, - 3,3), Qo (0,5,4), and Ro(1,4,3). The…

A: Given points P0(4,-3,3) , θ0(0,5,4), R0(1,4,3)The objective is to find the equation for the plane…

Q: Find the equation of the plane  The plane contains the point (1, 2, −5) and the line determined by…

A: Consider that the plane passes through the point 1,2,-5 and the rt=-4+t, 3+5t, 2-3t. Find the…

Q: Find the equation for the plane through the points Po(-1,-5,-2), Qo(3,-4,2), and Ro(1,1,5). .....…

A: Given: P0-1, -5, -2, Q03, -4, 2 and R01, 1, 5

Q: Find an equation of the plane. The plane through the point  (6, 0, 1)  and perpendicular to the line…

A: Given, The plane through the point (6, 0, 1) and perpendicular to the line x = 7t, y = 8 − t, z = 5…

Q: a. Find the Cartesian equation of the plan that contains the line r = (2, 3, 2) +t (1, 1, 4), t ER…

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Q: (b) Find an equation of the plane that passes through the points A(3, - 2, 0), B(1, 4, 2) and С(3,…

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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: 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 an equation of the plane. The plane that passes through  (6, 0, −3)  and contains the line  x =…

A: The plane passes through a point P=(6,0,-3) and contains the line x=2-4t, y=1+5t, z=6+4t. Hence, we…

Q: Write the equation for the plane. The plane through the points P(5, -2, -27) , Q(-3, -4, 25) and…

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Q: Find an equation of the plane. The plane that passes through (6, 0, –1) and contains the line x = 2…

A: Given a point (6, 0, -1) and a line x = 2 - 4t, y = 1 + 5t, z = 8 + 4t

Q: P = (A, 0, 0) P2 = (0, B,0) P3 = (0,0, C') a) Find the equation of the plane formed by the three…

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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: Find the Cartesian equation of the plane containing the points A(4,0,4), B(1,5.5) and C(-1,-1.2).…

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Q: - 1 y - 1 -3 23. (2, – 1, – 3); z- 2 %3D 3 2 2

A: The general equation of plane is ax+by+cz+d=0. To find the equation of plane which passes through…

Q: (a) Find the point at which the given lines intersect. r = (3, 2, 0) + t(2, –2, 2) r = (5, 0, 2) +…

A: Consider the equations of lines

Q: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

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Q: Write the equation for the plane through the points P(-1, -7, 45), Q(2, 3, -6) and R(1, -4, 33).…

A: Here we have to find the equation of the plane through the points P(-1,-7,45),Q(2,3,-6) and…

Q: Find an equation of the plane. The plane through the point (-3, 9, 10) and perpendicular to the line…

A: Find the equation of the plane

Q: Find an equation of the plane with x-intercept a, y-intercept b, and z-intercept c.

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Q: write down the equation of the plane. a) The plane containing the two lines given by ī =…

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Q: Find an equation for the plane through A (0,0,1),B(2,0,0),C(0,3,0).

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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 equation of the plane that contains the point of intersection of the two lines L₁: =…

A: Given problem:- . Find the equation of the plane that contains the point of intersection of the two…

Q: Find an equation of the plane. The plane that passes through the point (-3, 2, 2) and contains the…

A: Recall: Equation of plane passing through the intersection of planes            A1x+B1y+C1z=d1and…

Q: Write an equation for the plane that contains the x-axis and the point (0, 8, 24). O 3 = x² + y? +…

A: Please refer the attached image for complete solution.

Q: Find an equation of the plane. The plane through the origin and the points (1, -2, 7) and (8, 3, 1)…

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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: Write the equation for the plane. The plane through the point P(2, 4, 2) and normal to  n=3i +7j+6k

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Q: Find the equation of the plane that contains the line r¡(t) = (1 + lt, –1+t, 2+ 8t) and the point…

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Q: Find the equation for the plane through the points Po(4,3, - 4), Qo(0,-5,3), and Ro(0,4, - 2). The…

A: The plane passing through the points P0(4,3,-4), Q0(0,-5,3) and R0(0,4,-2)

Q: Write the equation for the plane. The plane through the point P(-4, -1, -6) and perpendicular to…

A: GIVEN: Point P (-4, -1, -6)  Line x = 10 + 4t, y = 7 + 3t, z = 1 + 5t

Q: Find an equation of the plane. The plane through the point (7, 0, 5) and perpendicular to the line x…

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Q: Find an equation for the plane passing thnrough the given points: Р(- 4, — 1, — 1), Q(- 2, 0, 1). R(…

A: Given that: Points P(-4,-1,-1), Q(-2,0,1), R(-1,-2,-3)

Q: - Find the equation of the plane that passes through the three points A(1,0,0), B(0,2,0), and C(0,0,…

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Q: Write the equation for the plane through the points P(-1,6, - 61), Q(2, - 8,66), and R(1,- 7,53). O…

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Q: Write the equation for the plane. The plane through the points P(5, 8, -33), Q(-3, -6, 19) and R(-1,…

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Q: Write an equation for the plane that contains the x-axis and the point (0, 5, 15). O 3 = x² + y² +…

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Q: Write the equation for the plane. The plane through the point P(4, 8, 9) and perpendicular to the…

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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: Find the equation for the plane through Po(1,8,-5) perpendicular to the following line. x- 1+t, y= 8…

A: We have give equation of line x=1+t, y=8+5t ,z=-2t We can write this equation in symmetric from…

Q: Find an equation of the plane. The plane that passes through the line of intersection of the planes…

A: Given query is to find the equation of the indicated plane.

Q: Find an equation for the plane through A(-2, 0, -3) and B(1, -2, 1) that lies parallel to the line…

A: Given points are