Write matrix for 2D reflection about axes. Derive the transformation matrix responsible  for the reflection of 2D object about line y+x=0

Q: Describe the product of two glide reflections whose axes are parallel.

A: The magnitude of the cross product of two parallel vectors was asked in this question. A glide…

Q: Show that the points (5,4,2) ,(6,2,-1) and (8,-2,-7) are collinear

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Q: What is the image point of (5,-6) after the transformation r y-axis T-4,0?

A: Given question :   What is the image point of (5,-6) after the transformation r y-axis T-4,0?   ( r…

Q: sketch y+3x =9 in two dimensional and three dimensional space

A: sketch y+3x =9 in two dimensional and three dimensional space

Q: A pre-image of a figure contains the point (10, 3). Distinguish the location of this point in the…

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Q: Find (2x + 5y)dA where Ris the parallelogram with vertices (0,0), (-5,4), (-2,-1), and (-7,3). Use…

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Q: Describe a transformation that carries the triangle with vertices (0,0), (13,0), and (3,2) onto the…

A: The vertices of the given triangles are: 0, 0, 13, 0 and 3, 2 Plot the vertices in the graph: Draw…

Q: What is meant by the conjugate axis and focal axis?

A: To define conjugate axis and focal axis.

Q: Find a fundamental matrix of the following system, and then apply x(t) = (t)P(0) 'x, to find a…

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Q: Find an equation of the plane through the three points P = (0, 0, 4), Q = (-3, 4, 0), R = (-1, -2,…

A: The given problem is to find the equation of plane passing through the given 3 points P(0,0,4),…

Q: Find (5x + 3y)dA where R is the parallelogram with vertices (0,0), (-1,4), (-4,-5), and (-5,-1). R…

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Q: Solve the equation Ax = p, or show that the equation is inconsistent. Write your solution in…

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Q: x = y + y, 0sysi (a) Set up an integral for the area of the surface obtained by rotating the curve…

A: Given  x= y+ y3 and 0≤y≤1 To set up an integral for the area of the surface obtained by the rotating…

Q: Give one application of linear transformation then explain while including illustrations for support

A: linear transformation has many application but  image rotate and flip is one of application

Q: Determine the parametric and symmetric equations for the line through the given points (2, –7,5),…

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Q: Determine whether the points (-6, 5), (1, 7), and (16, 10) are collinear.

A: Given: -6,5, 1,7  and 16,10 Concept Used: Three points are collinear if area of triangle is zero.…