Linear Algebra: A Modern Introduction
4th Edition
ISBN: 9781285463247
Author: David Poole
Publisher: Cengage Learning
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Find the area of the triangle with vertices P(1,3,-3), Q(0,0,0) and R(4,5,1)
Compute ∮c (ydx+zdy+xdz) where C is the triangle with vertices (3,0,0), (0,0,2), and (0,6,0) traversed in this order.
Explain how you would prove if four given points are coplanar. Use the method you described to determine if A(3, 4, –2), B(8, 5, 0), C(1, 10, –6), and D(9, 2, 2) are coplanar.
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- When the diagonals of rhombus MNPQ are drawn, how do the areas of the four resulting smaller triangles compare to each other and to the area of the given rhombus? Exercise 46arrow_forwardWhat is the area of th epolygon with the given vertices? J(-3,4), K(4,4), L(3,-3)arrow_forwardThe triangle whose vertices are (2,5),(3,1),(2,5),(3,1), and (4,2)(4,2) is transformed by the rule (x,y)→(x−2,y+4)(�,�)→(�−2,�+4). Is the image similar or congruent to the original figure?arrow_forward
- Find the area of the triangle with the given vertices.(0, 0), (2, 0), (0, 3)arrow_forwardCan you explain the solution a bit more as I am not understanding how you proved it to be false? Is it false cause degree m+n would imply a vertex in M or N that has edges contained within the subset which breaks definition of bipartite?arrow_forward
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