1. Points A,B,C,D form a parallelogram, where A = (1, –2,3), B = (3, 1,2), and BC is parallel to i = (1,4, –1). Find the coordinates of C and D if the distance between B andC is equal to d.

Q: Let c1= ((c1x,c1y), r1) and c2= ((c2x,c2y) , r2) be two circles and p = (px,py) be a point. Decide…

A: As per the above, we aim to determine the relationship between a point and two given circles, and…

Q: Let K = (5,12), L = (14,0), and M= (0,0). The line x + 2y = 14 bisects angle MLK. Find equations for…

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Q: 3. Write the equation of a line that is perpendicular and passes through the midpoint of AB with…

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Q: Find the symmetric equation of line L, that passes through the points (1, 8, 9) and (5, 9, 0).…

A: 9

Q: Find the angle between lines AB and AC where the point A(4,4,1), the point B(−4,7,7), and the point…

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Q: the coordinates of the image. 8. Square PQRS with vertices P(-5, 4), Q(2,8), R(6, 1), and S(-1, -3):…

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Q: 1) Determine if the figure is a parallelogram. Slope-of:- ВС: AD: C(6, 5) B(1,3)- AB: D(7, 1) CD:…

A: on solving this we get the

Q: unit perpendicular

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Q: Let A be the point with coordinates (-2, -1, -1) and let B be the point with coordinates (2, 0, 0).…

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Q: In the diagram, A is located at (0, 0), G is located at (5, 4), and I is located at (8, 4). Find the…

A: Given points: A is (0,0) G is (5,4) I is (8,4) Let the length of AC be 2a. Therefore, AF = CF = a…

Q: Determine the angle between the lines AB and AC delimited by the points A(4,3,2), B(6,1,-2),…

A: Step 1:  Step 2: Step 3: Step 4:

Q: In the standard (x,y) coordinate plane, what is the midpoint of the line segment that has endpoints…

A: Given points (3, 8 ) and ( 1 , -4 )

Q: Find the point of intersection of the two lines l1 : 7 Intersection point:

A: Introduction: The point of intersection is the intersection of two lines or curves. A point is the…