2. A robot performs the following operations on a set of points (x,y) in the 2D plane to check the movement of objects where (x,y) E ZxZ (a, b)A(c,d) = (c + a. 2db) Algebraic characteristics of the Summarize and Find the Abstract operation above.

Q: Q2. Use a scalar product the check whether the points A (0, 4, 1), B(2, 3, -1), C(4, 5, 0) and D(2,…

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Q: Find the angle between the planes 2x + y- 3z 2 and -x + 2y - z= 1.

A: We can solve the given problem as follows:

Q: Referring to Example 6 on page 71 of the workbook, suppose that (a, b) is the projection of the…

A: Given that (a,b) is the projection of the point (5, 8) onto the line y=-13x. Definition: The…

Q: What kind of transformation results in applying the rule (x, y) → (x – 5, y) in the coordinate…

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Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on…

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6)…

Q: Evaluate (6x-3y)dA where Ris the parallelogram with vertices (2,0), (5,3), (6,7) and (3,4)using the…

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Q: The distance from (-3,-4,-7) to the yz-plane is (A) -4 (B) 4 (C) -3 (D) 3 (E) 7

A: The distance(d) between two points (x1,y1,z1) and (x2,y2,z2) in a cartesian coordinate system is…

Q: 7. Find the scalar equation of any plane which contains the line = (1,2,1)+ t(3,6,-1)

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Q: definition set and drawan the plane Find the

A: Using elementary properties of logarithmic function and square root function set is obtained then…

Q: 2) Consider a set of points {(-2,-18), (-1, -7), (0, -2), (1, -3), (2, -10)}. a) The least squares…

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Q: Fud the Line pussing through the posnt (!,-l,o) and purrllel to the Eme of intersection of planes (X…

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Q: Find x such that the points A(x, 5), B(2, 3), and C(4, - 5) are collinear.

A: Given. A(x,5), B(2,3) and C(4,-5) are collinear.