Suppose that point C lies in plane X and point D lies in plane X. What can you conclude regarding CD?

Q: Write a paragraph explaining how the distance formula giving the distance between two points (x1,…

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Q: 4. Prove that the midpoint of the line segment connect- ing the points (x 1, X 2, - . . , Xp) and…

A: The midpoint of a segment can be considered to be the average…

Q: Find all points with coordinates of the form (a, a) that are a distance 3 from P(-2, 1).

A: Given: P(-2,1) and distance is 3. To find the other coordinate point.

Q: Find the distance from the poinst (-5, 2, -3) to the az-plane.

A: To find the distance from a point to the xz-plane, we are using the formula for the distance between…

Q: Prove that for A # B, AB S AB S AB.

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Q: Find the condition for the points (a,0),(h,k),(0,b) when ais not equals to 0 to be collinear

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Q: Exercise 1.5. Consider coordinates in the plane; i.e., pairs (a, b) where a,b e R. Recall that two…

A: Given: a,b To find: Program

Q: Given three non-collinear points P, M, and B, how many plane/s can be determined?

A: Non-collinear points are the points through which a single line cannot be drawn.

Q: 3. Show the parametric form of the line that passes through points A(3, 6, 1) and B(2,10, 5) Compute…

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Q: Here let A, B, C, and D be four distinct points in the plane. Now supposedly that no three of them…

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Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: the

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Q: What is the distance from the point (1,9,3) to the xz-plane?

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Q: The area (in square units) between the curve defined by y = x³, the x-axis, and the lines x = -1 and…

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Q: In triangular space it is sufficient to know two different points to find the line passing through…

A: Given statement is 'True'

Q: the planes through A,B and C parallel to the planes x=0 and y=0,z=0 respectively, intersect at Q,…

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Q: 8. Given the points A = (1, 2, 4), B = (-1, 1, 3), and C = (-3, -2, 5). Find the equation of the…

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Q: 1. Find the plane which contains the point M (4, 5,0) and the line 2+3 = ¹ = 2²

A: To find the plane which contains the point M4, 5, 0 and the line x+35=y-4-3=z-22.