Let M be a plane with the following properties: . M contains the point with coordinates (-1,-1,1) 2 Mis orthogonal to the vector 0 0 What is the distance of the point with coordinates (1, 0, 0) from M? [Please enter your answer numerically. You will be marked correct as long as what you enter is within 0.5 of the correct answer.] Answer:

Q: nd the distance from the point to the plane.   (3,3,8)​, 7y+3

A: Given, the equation of plane is                                       7y+3z=0and  point (3, 3, 8)

Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Describe the graph of the equation: r = 4ti – 8j + (1 + 2t)k. [Choose the correct answer.] The…

A: It is three dimensional, so each points must have three components (x,y,z).

Q: Which of the following statement(s) are TRUE for the line that passes through the point P(1,0, 3)…

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Q: 1. Given three points A(1,-2), B(2,-1), and C(0,3). Determine: a. Equation of the line through A and…

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Q: Find the equation of the plane parallel to the line r = 2i + t(−4i + 3j + 8k) and containing the…

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Q: Find an equation of the plane passing through the three points given P = (2,4, 2), Q = (4, 10, 10),…

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Q: 3) Find equations for the lines: The line through the point D/2 g. The line through (0,-7,0)…

A: Equation of line in 3D

Q: Find a general equation of the plane through the point (2,9, 6) and parallel to the plane x + 5y +…

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Q: Find parametric equations for the line through the point P(-5,6,7) and perpendicular to the vectors…

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Q: You are given the following points: A=(−4,20,16)A=(−4,20,16), B=(20,0,7)B=(20,0,7),…

A: Given- (x,y,z) coordinates of three points :A =(-4,20,16) B=(20,0,7) C=(8,-15,-19) to find- closest…

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: Consider the following diagram. The point O represents the origin of the zy-plane. The shape BCDE…

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