Show that the composition of two reflections in parallel lines is a translation parallel to the lines and through twice the perpen- dicular distance between the lines. (In which direction is the translation?)

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Q: The distance of the line 7x + y –5 = 0 from the origin is?

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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: 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: The distance between the points (1,−2, 0) and (4, 0, 5) is _____ .

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Q: Please help find the point of intersection and the angle between the lines y = x + 3 and y = 2x + 1.

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Q: irectly opposite on the other side/shore. If the speed of the boat (in still water) is 16 mph and he…

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Q: Which of the lines x – y + 3 = 0 and x – 4y –7= 0 is father from the origin? -

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: nd the distance between the two dissonant lines below х-1 y z+1 L1: 2 4 L2: = = z – 3 x-2 у-5 %3D 2…

A: Explanation and solutions is given below.....

Q: 8. Line segment PQ has endpoints P(3, – 2) and Q(2, 4). The translation (x, y) → (x – 3, y + 5) maps…

A: Guven, line segment pQhas endpoint p(3,-2) and Q(2,4)

Q: Find the Cartesian equation of the image of the line y = 2 under the mapping z → z 2 Sketch the…

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Q: 1. Which value of k will make the lines: r = (1,2) +s(2,3), s e R and 9x + ky = 0 parallel? 2.…

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Q: how that the lines x- 7y – 22 =0, 3x+4y +9 = 0 and 7x + y – 54 = 0 form a right angled osceles…

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Q: Use the coordinate plane and Quadrilateral ABCD for question 2. 2. Which of the following statements…

A: We have to find the statements which are true for the given graph.

Q: If you wanted to reflect a line segment with one endpoint at (x,y) about the x-axis, which of the…

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