02 find a linear mapping that maps the set S onto the set S' .1) S is the triangle with vertices 0, 1, and 1+ i. S' is the triangle with vertices 2i, 3i, and -1+ 3i. S is the circle |z – 1| = 3. S' is the circle |z + i| = 5. 2)

Q: . For what values of a are the points (6, 2, 3) and (a, 2, 5) and the line = (2,-1,-2) + t(3,1,-2)…

A: I have appended the formula used in the solution part of the question

Q: 20. Determine the angle between a = (5, 3, 0) and b = (-1, 0, 8) 21. The vertices of a quadrilateral…

A: Step 1: In order to determine the angle between a=(5,3,0)&b=(−1,0,8) lets use the dot product…

Q: Prove that for A # B, AB S AB S AB.

A:

Q: Show that the triangle whose vertices are A(3, 6), B( - 6, 4), and C(1, - 2) is an isosceles…

A: to show that triangle is isosceles.

Q: Randy wants to determine whether these two rectangles are congruent using only rigid…

A: Given: Randy uses a -----to make the bottom left vertices of both rectangles coincide. Then he uses…

Q: Let S be the triangle with vertices (4.2, 1.2, 4), (6, 4, 2) and (2, 2, 6). Find the image of S…

A: Let D be the data matrix for S.

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

A:

Q: 3. Rhombus JKLM with vertices J-4,7), K(0, 8), L(-1, 4), and M(-5, 3): (x, y) → (x+2, y- 2)

A:

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

A:

Q: A right rectangular prism has known vertices at these points: (0, 0, 0) (1.6, 0, 0) (0, 1.9, 0)…

A: Any point in the 3D coordinate system is represented using the coordinates: x, y, z. Start from the…

Q: What are the coordinates of the point on the directed line segment from (-9, –2) to (9, –6) that…

A:

Q: Represent two planes that intersect at a line represented by 3 +2

A: There are so many pair of planes that represents the same line.

Q: Identify the part-to-whole ratio that describes the location of point P(3, 1) on the directed line…

A: