EBK CALCULUS EARLY TRANSCENDENTALS
9th Edition
ISBN: 9780357687901
Author: Stewart
Publisher: CENGAGE L
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Chapter B, Problem 15E
To determine
Show that the points
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Calculate the area of the parallelogram with the given vertices:
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Prove that the points (-2, -1), (1, 0), (4, 3), and (1, 2) are the
vertices of a parallelogram. Is it a rectangle?
Find the area of the parallelogram with vertices at
A(1,-5,2) B(-8, -13,-5) C(-11,7,5) D(-20, −1, −2)
square units.
Chapter B Solutions
EBK CALCULUS EARLY TRANSCENDENTALS
Ch. B - Prob. 1ECh. B - Prob. 2ECh. B - Prob. 3ECh. B - Prob. 4ECh. B - Prob. 5ECh. B - Prob. 6ECh. B - Prob. 7ECh. B - Prob. 8ECh. B - Prob. 9ECh. B - Prob. 10E
Ch. B - Prob. 11ECh. B - Prob. 13ECh. B - Prob. 14ECh. B - Prob. 15ECh. B - Prob. 16ECh. B - Prob. 17ECh. B - Prob. 18ECh. B - Prob. 19ECh. B - Prob. 20ECh. B - Prob. 21ECh. B - Prob. 22ECh. B - Prob. 23ECh. B - Prob. 24ECh. B - Prob. 25ECh. B - Prob. 26ECh. B - Prob. 27ECh. B - Prob. 28ECh. B - Prob. 29ECh. B - Prob. 30ECh. B - Prob. 31ECh. B - Prob. 32ECh. B - Prob. 33ECh. B - Prob. 34ECh. B - Prob. 35ECh. B - Prob. 36ECh. B - Prob. 37ECh. B - Prob. 38ECh. B - Prob. 39ECh. B - Prob. 40ECh. B - Prob. 41ECh. B - Prob. 42ECh. B - Prob. 43ECh. B - Prob. 44ECh. B - Prob. 45ECh. B - Prob. 46ECh. B - Prob. 47ECh. B - Prob. 48ECh. B - Prob. 49ECh. B - Prob. 50ECh. B - Prob. 51ECh. B - Prob. 52ECh. B - Prob. 53ECh. B - Prob. 54ECh. B - Prob. 55ECh. B - Prob. 56ECh. B - Prob. 57ECh. B - Prob. 58ECh. B - Prob. 59ECh. B - Prob. 60ECh. B - Prob. 61E
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- Use a software program or a graphing utility to write v as a linear combination of u1, u2, u3, u4, u5 and u6. Then verify your solution. v=(10,30,13,14,7,27) u1=(1,2,3,4,1,2) u2=(1,2,1,1,2,1) u3=(0,2,1,2,1,1) u4=(1,0,3,4,1,2) u5=(1,2,1,1,2,3) u6=(3,2,1,2,3,0)arrow_forwardShow that the three points (x1,y1)(x2,y2) and (x3,y3) in the a plane are collinear if and only if the matrix [x1y11x2y21x3y31] has rank less than 3.arrow_forwardDetermine whether the points (3,2),(5,3), and (1,1) are collinear.arrow_forward
- Find the area of the parallelogram with vertices at (3, -3), (11, 1), (12, – 5), and (20, -1). Areaarrow_forwardJint) Determine whether or not ABCD, which has vertices A(-2,4), B(-4,1), c(2,0), and D(4, 3) is a parallelogram. A (-2,4) D (4, 3) 3 2 11 B(-4,1) {c2,0 -3 -2 -1 -11 -2arrow_forwardI need help with thisarrow_forward
- 8. If A(3,-4,5) and B(2,-2,0) are two vertexes of a parallelogram ABCD and M(2,2,2) is the point of intersection of its diagonals, find the other two vertexes.arrow_forwardIf three corners of a parallelogram are (1, 1), (4, 2), and (1, 3), what are all three of the possible fourth corners? Draw two of them.arrow_forwardShow that quadrilateral RSTV with vertices R(- 5, - 3), S(1, – 11), T(7, -6), and V(1, 2) is a parallelogram.arrow_forward
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