Which representation of a transformation on a coordinate grid does not preserve orientation? A) (x,y)→ (¼x, ¼y) B) (х, y) → (у, - х) C)（x, y） → （x-3,y-2） D)（2,3）→（x，-y）

Q: O A'(0,0), B'(-6, 1), C'(-2, 6) O A(0, 0), в(-6, -1), C(-2, -6) A triangle has vertex coordinates…

A: 180 degrees rotation gives the image of a point P (x,y) rotated through 180 degrees around the…

Q: The plane II contains the points (1, 2, 3), (0, 1, 2) and (2, 3, 0). The line L passes through the…

A: Since you have posted a question with multiple subparts, we will provide the solution only to the…

Q: Compute the orthogonal projection of v= 7 onto the line through 4 2 and the origin.

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Q: Compute the orthogonal projection of v = proj, (v) = -5 onto the line L through -4 and the origin. 6…

A: Introduction:  The vector projection of a vector a on (or onto) a nonzero vector b, sometimes…

Q: Construct a linear map L(z)=az+b that will send the imaginary y-axis to the line v=-u.

A: we have to constract a linear map that maps the y-axis to the line v=-u Basically we have to…

Q: What kind of transformation results in applying the rule (x, y) → (x – 5, y) in the coordinate…

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Q: 5. Compute the distance between these pairs of points: (a) (-2, 5) and (4, 13) (b) (3,-4) and (8, 8)

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Q: Determine the value of K such that the points A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,K,-2) lie on…

A: Given A(4,-2,6), B(0,1,0), C(1,0,-5) and D(1,k,-2) AB→=(0-4,(1+2),(0-6))=(-4,3,-6)…

Q: Prove that three points P(5,-4), Q(-3,8) and R(1,2) on the rectangular coordinate plane are…

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Q: under the linear transformation T: R² → R² consisting of a reflection in the y-axis followed by a…

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