Problem # 3 Iz A plane surface intersects the coordinate axes at three points A=(5,0,0), B=(0,5,0) and C=(0,0,10). A given point P is on the plane. Find the matrix of geometric transformation that move the point P five units down on the plane to P'. (Line PP' is perpendicular to edge AB and is on plane ABC. PP'=5.) P. А t. y

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: Find the coordinates of the vertices of the following figure after a rotation 180° about the origin.…

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Q: Let P(3,-1,4) and Q(10, 13,9) u = (2,5, -1) and v= (7,-1,2) l be the line through P along direction…

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

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Q: 4. Consider the points A(1, 0, 3), B(-1, 5, 2) and C(3, -1, 1). Find the equation of the plane…

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Q: Find the vector and parametric equations of the line through the points A = (2,4,7) and B =…

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Q: 1. Find the equation of the plane that contains the following points. (2, –1, 4), (3, 2,0), and…

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Q: 4. Give the general equation of the plane containing the point (3,-1,4) and 2- z perpendicular to…

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Q: Find the equation of a plane passing through (2,1,3), (3, –1,5), and (1,2, –3).

A: Equation of plane

Q: Prove that n and m are natural numbers such that n > m, then n-m is also a natural number. Prove by…

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Q: Q3/ For the given vertices A, B, C and D of the parallelogram, Find the angle at B and the polar…

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Q: Let P = (-2,0, 5), Q = (3, 1, 1), and R = (0,0, 4) and define a = PÓ and b= PR. Find (d) The…

A: Given three points are: P:-2,0,5, Q:3,1,1, R:0,0,4 The position vectors for the given points are:…

Q: . Let A=(2, 3, 1) and B= (4, -1, 2) and C = (6, 2, 3). Find the equation of the line in parametric…

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Q: 1) The area of the triangle whose vertices are the points P(1,0,2), Q(3,-1,3), and R(4,1,2). 2)…

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Q: What is the equation of the plane through the three points (1, 2, -2), (3, 2, 1), (5, 1, -4)? A B…

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Q: 3. Give the parametric and symmetric equations of the line that passes through he point (4, –3, 5)…

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Q: Create a spreadsheet similar to the the spreadsheet in Figure 6.1.1. Use your spreadsheet to find…

A: Create a table in Excel for mod(10n, 111) for 0 ≤ n ≤ 8. The formula in cell B4 is ‘=MOD(A4,111)’.

Q: What is the image equation of y=3x-1 under the reflection in the line X+у-0? O x+ 3y - 1 = 0 Ох-Зу +…

A: NOTE: Refresh your page if you can't see any equations. . the reference line is  or we can write

Q: 4. Find the equation of the plane through the given points. (a) (1,1,2), (0, 0, 1), and (-2, -3,0).…

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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),…

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Q: (1) Find an equation of a plane that goes through (-1,2,6) and is perpendicular to (2, 1, –3).

A: It is given that the perpendicular vector to the plane is given as,  and plane passing through,…