A plane P passes through the points P(3, –1, –4), E(2,7, –1), and G(-1,6, 1)

Q: he equation of the line passing through the point (1 (1, 1, 1) +t(0, 1,2) B. (1,1,1) +t(0,2, 2)…

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Q: 1. Find an equation of the plane that passes through the points (-1, 3, -3), (4, 1, 2), and (8, 2,…

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Q: The plane II contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). The line L passes through the…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: The geometric object in 3-space represented by the equation (x +y +z)^2 = 81 is O a. the line…

A: This is quadratic equation.  When this quadratic expression can be factored in two linear factors…

Q: If l� is the line through the points [0,0][0,0] and [4,2][4,2] , then the closest point on l� to the…

A: The objective of the question is to find the point on the line l that is closest to the point (2,3).

Q: (0.2) (0.1) (1.1) (-2,0) (-1,0) (0.0) (1.0) (2.0) I (-1.-1) [(0.-1) (1.-1) (0.-2) Figure 5.4: Grid…

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Q: (Boas, 3.5.13) Find the equation of the line through (3,0, –5) and parallel to the line г - (2,1,…

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Q: Evaluate e fry²dæ + x³dy, where C' is the rectangle with vertices (0,0), (4,0), (4,2), and (0,2)

A: We apply the green's theorem to solve the given problem.

Q: Qn 1. Consider the following six points in R²: Aj — (1,0), Аз— (3,0), Аз- (2, V3), В, — (0,3), В, —…

A: Given the following six points in ℝ2. A1=(1,0), A2=(3,0) , A3=(2,3) , B1=(0,3) , B2=(3,2), B3=(0,1)…

Q: 2) Calculate the distonce d of the pint ? (-l,(, -2) from the plane passing through the three A(…

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Q: Suppose P = (0, – 1, 6) and PQ = (9, 2, – 4). and ( Enter an integer or decimal number (more.] Two…

A: Find the point Q using the vector PQ and point P.

Q: Find an equation of the plane passing through the three points given.P = (5, 1, 1), Q = (1, 1, 2), R…

A: GivenP=(5,1,1) , Q=(1,1,2) and R=(2,1,1)To find equation of plane passing through the three points.

Q: Find the plane z = a + bx + cy that best fits the data points (0, -4, 0), (5, 0, 0), (4, -1, 1), (1,…

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Q: Find a plane containing the point (– 3, – 3, 7(t) = (– 2, – 3, – 5) + t(3, 4) and the line 6, 7).

A: we have to find the equation of plane that contains the point (-3,-3,-4)  and the line…

Q: If the plane contains the points P(1, 0, 0), Q(3, 2, 0), R(0, 2, 1), W(a, 1, ), then a = -6 O-2

A: Solution: The equation of plane passing through points P1,0,0, Q3,2,0, R0,2,1 is x-y+3z-1=0

Q: The equation of the Plane in the form of Ax+By+Cz+D=0 that passes through points (3,1,-2), (-1,2,4)…

A: Topic :- 3-D  Geometry

Q: I find the equation of the plane passing through the three point. (1,2,3) (2,-3, 4), (1,1,7),

A: We have to find a equation of plane passing through the given three points.

Q: 10. Given ủ [10,4] and i [12, – 13], find the projection of i on v. %3D %3D

A: Here we use projection formula

Q: 19. The plane through (3, -1, 1), (4, 0, 2), and (6, 3, 1) Answer + -4x + 3y + z = -14

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Q: Find the symmetric equations of the L that is parallel to the two planes x+y-z= 2 and z + 3y+ z =…

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Q: 5. Sketch & Find the value of k: (1, k), (-2, 7),& ( 10, -17) so that they are collinear points.…

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Q: Which of the following is the equation of the plane that is passing through the point P(2, 2,–2) and…

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Q: Which of the following is a point on the plane with equation n = (-3, -2, 2) + t(2, 2, -2) + s(1,…

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Q: nt of intersectic -6 y + 8 = 3 O) カー

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Q: ( ) Find the point of intersection of the plane passing through the points P(0,-2,-6) P(-1,1,5) and…

A: Thanks for the question :)And your upvote will be really appreciable ;)