- Consider noncoplanar points A, B, C, and D. Using three points at a time (such as A, B, and C), how many planes are determined by these points?

Q: 4. Give a geometric description of each family of planes.

A:

Q: If two planes intersect, then _____.

A: Intersection of two planes is given by,

Q: TT₂: TT₂: TT₂: 3x+2y-z+6=0 6x+6y-2z+6=0 3x+3y-z+6=0

A: Given: A set of three planes 3x+2y-z=-66x+6y-2z=-63x+3y-z=-6 To find: intersection of these planes.…

Q: Give an example of three planes,exactly two of which are parallel.

A: Give an example of three planes,exactly two of which are parallel.

Q: . For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line = (2,-1,-2) + t(3,1,-2)…

A: I have appended the formula used in the solution part of the question

Q: Which of the following points is collinear? a. (1, 2), (5, 3), (1,-2), and (2, 0) b. (0, 4), (1, 3),…

A: Solved below

Q: onfiguration sh

A: The dual configuration diagram is given as,

Q: Name two planes that intersect in FG.

A: We have to name the plane which intersects in FG,

Q: Let a = C(7, 4), b = C(7, 5), c = C(7, 6), and d = C(7, 7). If there are 7 points on the plane, no…

A: Solution

Q: Find Vector, Parametric and Scalar equations for the line that passes through t -2,11) and (6,1).

A: Given: - The line that passes through the points -2,11and 6,1. To find: - The parametric equations…

Q: Let A (1, 2, -1), B (3, -1,4) and C (2,6,2) be three vertices of parallelogram ABCD a-Find the…

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Q: H.W 7- Determine whether the four points P:(1, 1, 2), P:(4, 0, 3), P:(1, 5, 10), and P:(7, 2, 4) lie…

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Q: Below are four coordinate axes for 3-space, labeled I, II, III, and IV. Which sets of axes adhere to…

A: Once the x- and y-axes are specified, they determine the line along which the z-axis should lie, but…

Q: Ex.: Find the area of the triangle whose vertices are A(1,-1,0), B(2,1,-1) and C(-1, 1,2).

A:

Q: If A, B, C, and D are collinear, then they lie in the same plane. A, B, C, and D lie in the same…

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Q: Name the intersection of planes M and N.

A:

Q: Let ​A(66​,33​), ​B(99​,44​), and ​C(55​,66​) be three points in a coordinate plane. Find the…

A: Let D=(x,y). a) IF AB is a diagonal, then CD is another diagonal. We know that diagonals of a…

Q: If the points (h, 0), (a, b), and (0, k) lie on a line, show that 1 + k h

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Q: Show that A(-4, – 1), B(0, –2), C(6, 1), and D(2, 2) are vertices of a parallelogram.

A: Given  A(-4,-1), B(0,-2), C(6,1) and D(2,2) To show: ABCD are vertices of a parallelogram.