Given a line segment with starting point as (0, 0) and ending point as (4, 4). Apply 45 degree rotation anticlockwise direction on the line segment and find out the new coordinates of the line. Apply shear parameter 4 on X-axis and 1 on Y-axis to find out the new coordinates of the object along x-axis, y-axis, xy-axis

Q: Parameterize the line connecting the points P = (1, 1, 2) and Q = (-2,0,3).

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Q: How would you create a parallel line that passes through a given point using rotation?

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Q: Two cars are traveling on two different roads that are perpendicular to each other. On a coordinate…

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Q: 9 Find the distance from the point (-7,-3,4) to the xy-plane.

A: Distance of a point (a,b,c) from the plane lx+my+nz=p is (la+mb+nc-p)/sqrt(l^2+m^2+n^2)

Q: onsider the points A = (-2, 3, -1) and B = (4, -2, 1). (a) Draw a 3D coordinate system that follows…

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Q: If the xy-coordinate axes are rotated , find the XY-coordinates of the point (x,y) = (4,5

A: The new coordinates (X, Y) of a point (x, y) can be found using the following rotation…

Q: 6x Find -dA, where R is the parallelogram enclosed by the lines 4x – 3y 6x – y = 0, 6x – y = 9, – 4x…

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Q: Find parametric equations for the line in which the planes, X+2y-2z=5 and 5x-2y-z=0 intersects. Show…

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Q: Find equations of a line perpendicular to the lines x = y = z and x = 2y = 3z, passing through the…

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