Imagine a triangle △ABC where A(−53,−60,−49), B(−102,−98,−107), and C(3,6,5) is in 3D space. A point P(x,y,z)=(−55.8,−55.4,−56.0) is within this triangle. If triangle △ABC is shifted 8 units along the x-axis and 4 units along the z-axis and the point P(x,y,z) transforms into P′(x′, y′, z′) then, What is the value of x′?     What is the value of y′?     What is the value of z′?

Q: Select the representations that do not change the location of the given point (-5, -π/4) Options: a.…

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Q: 3. Express (j-3)° in rectangular form.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: Let P(-5, -3, -7) and Q(7, 11, 1) be two points in three dimensional space. Write an equation of the…

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Q: Suppose a triangle has the following vertices: v1 = (-2, 3, 6) v2 = (4, 5, -1) v3 = (3, 3, 0) What…

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Q: 3. Let a = -i+ 3j + 2k and b = 4i + 5j+ 2k. Don’t evaluate the square roots for the lengths except…

A: Given that                    a→=-i^+3j^+2k^                     b→=4i^+5j^+2k^  We know that the…

Q: △ABC△ABC has vertices A(0,4), B(6,-1), and C(3,7). What are the coordinates of C' when the triangle…

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Q: Rotate the point (2,5) by (3/5,4/5) around origin (0,0).

A: Given:  point A2,5Rotate by 35,45 around origin 0,0.…

Q: [A -9-8-7-6-5-4-3-2 B O (-4,-5) O (-14,-11) O(-12,-13) O (11,14) (-11,-14) D 2 3 -5 -6 -7 -8 -9 1

A: Point B , (-9,-8)

Q: 6.

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Q: There are currently 3 machines in a factory: P1, P2, and P3. Assume that this rectilinear shaped…

A: Assume that this rectilinear shaped factory is located on the first quadrant of the coordinate…

Q: Given A = [1, 1, 2] and B = [1, 1, -1]. Find the direction cosines of -->BA Select one: a. (0, 0,…

A: Given vectors are  A=1,1,2B=1,1,-1