Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
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- 38. A rectangle with sides parallel to the axes has vertices at (3, – 2) and (-4, – 7). a) Find the coordinates of the other two vertices. b) Find the area of the rectangle.arrow_forward8) Determine whether the given vertices represent a parallelogram, rectangle, or rhombus. B(-1, -1), (6, -2), D(5, -9), E(-2, -8) (HINT: Use the distance and/or slope formula to justify your answer.)arrow_forwardConsider the points A (-2, 2, −3), B (-4, -2, -3), and C (0, 4, 3). Find all the points D so that the points A, B,C, and D (not necessarily in that order) are the vertices of a parallelogram. Enter your answer as a list of points, e.g. (0,0,0), (1,1,1),…….arrow_forward
- Determine the type of quadrilateral described by set of vertices. Give reasons for your answers. A)J(-5, 2), K(-1, 3), L(-2, -1), M(-6, -2)arrow_forwardThe vertices of a quadrilateral are A(9, 4), B(8,-2), C(2,-5), and D(3,-7). Classify the quadrilateral as specifically as possible. Classify the quadrilateral as specifically as possible. O Square Rhombus Rectangle Parallelogram O Trapezoidarrow_forwardLet's simulate the process of constructing a matrix for a 3D transformation that rotates 13 degrees about the axis n = [0.3, 0.2, 0.5]. First step: is the vector n a unit vector? (on the answers, 0.3^2 means 0.3-squared, and so on) O Yes, since 0.3 +0.2 + 0.5 = 1 O No, since 0.3^2 +0.2^2 + 0.5^2 1 O No, since 0.3^2 +0.2^2 + 0.5^2 = 1arrow_forward
- 8 pls and thank youarrow_forward2. Which of the following could be a linear combination of the set {(a, b), (c, d)}? (Circle ALL that apply) a. (3a, 3b) (2a + 2c, b + d) d. (2a-c, 2b-d) b. (2a, b + 2d) C.arrow_forwardShow that A(-4, – 1), B(0, –2), C(6, 1), and D(2, 2) are vertices of a parallelogram.arrow_forward
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