A rhombus ABCD is such that:1. A = (-1, 3, -1)2. B lies on the line I with vector equation:[-103+s 6xyZ||3. The diagonals intersect at M=(-1, 1, −2)Find the coordinates of the remaining vertices B, C, D.B = (0, 0, 0)C = (0, 0, 0)D=(0, 0, 0)

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Answered: A rhombus ABCD is such that: 1. A =…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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a. u=5i−2j+3k, v=4j−2k and w=−2i−4j−k. Find ||8u - 3v + w|| b. Find the unit vector that has the same direction as the vector from the point A=(1,5) to the point B=(−1,10)
pls help with these thanks. 1. a) Determine a direction vector of the line of intersection of the two planes 6x - 2y + 8z = 14 and 15x - 5y + 20z = 28. If there is not a single line of intersection, classify the system. Question a) options: [-7, 3, -5] [4, -6, 1] [-6, -5,2] [1, -7, -4] parallel and distinct coincident b) Solve the following system, if possible. π1: 3x - 2y + 5z = 1 π2: 5x + y - 3z = -4 π3: 6x - 17y + 44z = 31 Find either the point of intersection or the direction vector of the line of intersection or state the system is inconsistent. Question b) options: [1, -5, –3] [-3, 5,-1] [8, 4, 1] [-4, -7, 5] inconsistent
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A rhombus ABCD is such that: 1. A = (-1, 3, -1) 2. B lies on the line I with vector equation: [-1 0 3+s 6 x y Z || 3. The diagonals intersect at M=(-1, 1, −2) Find the coordinates of the remaining vertices B, C, D. B = (0, 0, 0) C = (0, 0, 0) D = (0, 0, 0)