Study Guide for Stewart's Multivariable Calculus, 8th
8th Edition
ISBN: 9781305271845
Author: Stewart, James
Publisher: Brooks Cole
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Chapter 16.1, Problem 1PT
For
- a) a
- b) b
- c) c
- d) d
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6. Write DÉ as a linear combination of the vectors i and j
a) D (9,-6) E (-7, 2)
first write in component form, then write as linear combination
b) D (-3, 5.7) E (6,-8.1)
10+
F. Given the vectors A = (-1, 2, 3), B = (0, 4, -5 ), C = ( 1, 0, -2), D = ( 2,3,1)
A. Find the following:
2. (C x D) (B x A)
how is C equal to the difference of vectors A and B?
Chapter 16 Solutions
Study Guide for Stewart's Multivariable Calculus, 8th
Ch. 16.1 - For F(x,y)=(x+y)i+(2x4y)j, which vector, a, b, c,...Ch. 16.1 - Prob. 2PTCh. 16.1 - Prob. 3PTCh. 16.1 - True or False: F(x,y)=2yi+2xj is conservative.Ch. 16.2 - A definite integral for C(x+y)ds, where C is the...Ch. 16.2 - True or False: The curve at the right appears to...Ch. 16.2 - A definite integral for CFdr, where F(x,y)=x2i+y2j...Ch. 16.2 - Prob. 4PTCh. 16.2 - Prob. 5PTCh. 16.3 - Prob. 1PT
Ch. 16.3 - Which curve is simple but not closed?Ch. 16.3 - Prob. 3PTCh. 16.3 - Prob. 4PTCh. 16.3 - Prob. 5PTCh. 16.4 - Prob. 1PTCh. 16.4 - Prob. 2PTCh. 16.4 - Prob. 3PTCh. 16.4 - Prob. 4PTCh. 16.5 - Prob. 1PTCh. 16.5 - Prob. 2PTCh. 16.5 - Prob. 3PTCh. 16.5 - True or False: div curl F = 0.Ch. 16.5 - Prob. 5PTCh. 16.5 - Prob. 6PTCh. 16.6 - Prob. 1PTCh. 16.6 - Prob. 2PTCh. 16.6 - Prob. 3PTCh. 16.6 - Prob. 4PTCh. 16.6 - Write an iterated integral for the area of that...Ch. 16.7 - Prob. 1PTCh. 16.7 - Prob. 2PTCh. 16.7 - Prob. 3PTCh. 16.8 - Prob. 1PTCh. 16.8 - Prob. 2PTCh. 16.8 - Let F(x, y, z) = zi + xj yk and the curve C be...Ch. 16.9 - Prob. 1PTCh. 16.9 - Prob. 2PT
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- Q2. Given the vectors : A = (3.-1, 2), B = (0, 1, 1) and C- (2, 2,-1), find: the angles between the vectors A x B and C, and between A x C and B?.arrow_forwardGiven the following vectors A=-4a+3a - 2a X y B=a +5a +7a_ y C=-2a-4a +6a X y 2 Evaluate |AX (BXC)|arrow_forwardGiven that (A x B) x (C x D) = [A,C,D]B - [B,C,D]A, derive (A x B) x (C x D) = [A,B,D]C - [A,B,C]D The bold letters represent vectors. This is working with the vector identitiesarrow_forward
- %3| Express the vector 2x2 + x + 3 in the space P2 as a linear combination of the vectors p = -x2 +1 ,q = x2 - x , r=x + 1 29 - O A) 2p + 3r O B) 2q+ 3r O C) p + 2q+ 3r O D) 3q+ 2r O E) 2p + 3qarrow_forwarda, b and c are three vectors in the third dimension with the following properties: a × b does not equal zero. a × b = b × c = c × a. Show that a + b + c = 0. Show that a + b + c = 0.arrow_forwardI need the answer as soon as possiblearrow_forward
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