22. CHALLENGE If rectangle ABCD has coordinates A(0, 0), B(0, 4), C(4, 3), D(0, 3), find the coordinates of rectangle WXYZ where WXYZ is a dilation of ABCD such that the area of WXYZ is one half the area of ABCD.

Q: Find the area of the hyperbolic (geodesic) triangle with vertices (3,0), (4,0) and (5,0).

A: Let P(3,0), Q(4,0) and R(5,0) be three vertices.  It is known that the equation of hyperbolic line…

Q: AAOB is placed on a coordinate system so that A = (6, 12), B = (21, 3), and O=(0, 0). A segment, CD,…

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Q: Find the area of the triangle with vertices: Q(-1,5,5), R(-2,8,7), S(-3,2,8).

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y=x and y=2-x…

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Q: A rectangle ha verices at P (6, 6), Q (6, -6), R (-6, -6) and S (-6, 6). The origin is the center of…

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Q: Find the area of the triangle with vertices: Q(0,2,-2), R(-1,3,-5), S(-3,-1,-8).

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Q: Find the distance d between the two parallel planes x + 2y 2z = −2 and x + 2y = 2z = 1.

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Q: Let points A: (6, 10, 7) and B = (4,7, 1). Find points C and D that make ABCD a square.

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Q: 2. Let ~v = h3,-2,1i and w = h-1,4,2i. (a) Find cos(0) where 0 is the angle betwen ~v and w.

A: Given,   v→=3,-2,1 and w→=-1,4,2

Q: Find the area of the parallelogram with vertices at A(1,-5,2) B(-8, -13,-5) C(-11,7,5) D(-20, −1,…

A: The given vertices are:A(1,−5,2), B(−8,−13,−5), C(−11,7,5), D(−20,−1,−2)To visualize the situation,…

Q: Find the area of the largest rectangle that can be inscribed in a right triangle with legs of length…

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