The three points A = (1, 3), B = (3, 1) and C = (−2, −2) are taken as the vertices of a triangle T. (a) Determine the midpoints X, Y and Z of the sides BC, AC and AB respectively of the triangle T.

Q: 30) The coordinates of the endpoints of line segment CD are C(–4, 1) and D(3, 4). Reflect the line…

A: x-axis is also known as the principal axis . The y-coordinate of the point that lies on x-axis is 0.

Q: Q3. Evaluate [(A +B). (à – B)] if à = 2î – 3ĵ + 5k and B = 3î + j – 2k

A: Topic:- algebra  Note:- as per our guideline if more than one question uploaded than only one…

Q: Four points have these coordinates: 1 2 3 4 y 3 Thus, the values of Sp S and Sw respectively are…

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Q: Find b and c so that y 20z? + bæ + c has vertex (– 2, 2).

A: Given y=-20x2+bx+c. The given equation is an equation of a parabola. The vertex of a parabola y=fx…

Q: Find the midpoints of the legs, then the length of the median of the trapezoid with vertices C(-4,…

A: Solution: Consider the given that vertices of trapezoid is C (-4, -3), D(-1, 4), E(4, 4), and F(7,…

Q: 5/1f the three points A ( are collinear then

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Q: B- Vertices of a triangle are, A(-1, 0, 1), B(3, -2, 0) and C(4, 1, -2). Find 1- Area of Triangle 2-…

A: A detailed solution is given below.

Q: 4. The points P(2,0, 1) and Q(4,2,5) are in R. (a) Find the midpoint between these two points, and…

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Q: O(0,0) and A(4,4) are two given points and B is any point. Find the equation to the locus of the…

A: Given The O(0,0)  and  A(4,4) are any two points and  B is any points . OB and AB are perpendicular…

Q: What are the vertices of the image r(90°, O) (△BCD)?   A. B'(−3, −3), C'(−1, 4), D'(2, 0)   B.…

A: First let us divide the graph into four quadrants Quadrant I   - Both x-axis and y-axis values are…

Q: The points A, B, C and D represent the numbers Z₁, Z2, Z3 and z4 and O is the origin. 9 (a) If OABC…

A: We have to find value of Z3

Q: Consider points A(4, -1, 3), B(3, 1, 8), and C(1, -3, -3). (a) Find the area of parallelogram ABCD…

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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: The midpoint of a segment can be found using the formulas for a directed line segment, x = (X2-X1) +…

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Q: Evaluate fS, 6x² – 40y dA, where D is the triangle with vertices (1,1), (5,0) and (5,3).

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Q: iven the points A(2,6,0) and B(3,5,6) determine the point of intersection of this line to x-z plane.

A: Given points are A(2,6,0) and B(3,5,6) The line joining points (x1, y1, z1) and (x2, y2, z2) have…

Q: Let A:(-1, 1, –1), B:(2,0, 2), C:(4, 1, –3), and D:(-3, 1, 10) be points in R. (a) Find the angles…

A: Since you have posted a question with multiple sub-parts, we will solve only first three sub-parts…

Q: Sketch the following points in space three, A (4,5,3); B (1,7,4) and C (2,4,6). Prove that point A,…

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Q: ) Find an equation of a line that is perpendicular to both u = and v m and contains the point (2,3,…

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Q: EXERCISE 4.1 Given the three points P₁ = (10,−5, 4), P₂ = (8,−4, 3.2), and P3 = (8, 4, 3.2), derive…

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

A: As per the question we are given the following 3d coordinates of a triangle as : v1 = (-2, 3, 6) v2…

Q: Two sides of a rhombus ABCD are parallel to the lines Hy=5 and 6z-y= 3. If the diagonals of the…

A: For the given Rhombus ABCD: Parallel lines to which two sides of Rhombus are parallel are:…