EBK MATLAB: AN INTRODUCTION WITH APPLIC
5th Edition
ISBN: 8220102007642
Author: GILAT
Publisher: YUZU
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Chapter 7, Problem 24P
Write a user-defined 
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Three voltages represented by e = 20sinwt; ez = 30sin (wt -
and ez = 40sin (wt –
and
draw the circuit. Find an expression for the resultant voltage. Represent them by appropriate vectors.
We can use Eq. 1.7 to find A
A = 7 and B = 4) and the angle
Then we get:
26. Find the angle between A = -5i - 3j + 2k and B -2j - 2k. [Ser4 7-20]
Eq. 1.7 allows us to find the cosine of the angle between two vectors as long as we know
their magnitudes and their dot product. The magnitudes of the vectors A and B are:
(−5)² + (−3)² + (2)² = 6.164
B =
and their dot product is:
A B = AB cos = (7)(4) cos 60° = 14
A = A² + A² + A² =
=
which then gives
A · B = AxBx+ AyBy + A₂B₂ = (−5)(0) + (−3)(−2) + (2)(−2) = 2
1.2. WORKED EXAMPLES
√B²+ B²+ B² = √(0)² + (−2)² + (−2)² = 2.828
B. We have the magnitudes of the two vectors (namely
between the two is
= 130° 70° = 60°.
Then from Eq. 1.7, if o is the angle between A and B, we have
2
(6.164) (2.828)
This gives us:
coso =
From which we get by:
A.B
AB
=
27. Two vectors a and b have the components, in arbitrary units, ax = 3.2,
ay = 1.6, b = 0.50, by = 4.5. (a) Find the angle between the directions of a and
b. (b) Find the components of a vector c that…
perform the indicated apera tions.
3.)BB14 t 613.812=
%3D
- 12
Chapter 7 Solutions
EBK MATLAB: AN INTRODUCTION WITH APPLIC
Ch. 7 - Prob. 1PCh. 7 - 2. Write a user-defined MATLAB function for the...Ch. 7 - Prob. 3PCh. 7 - Prob. 4PCh. 7 - Prob. 5PCh. 7 - Prob. 6PCh. 7 - The fuel tank shown in the figure in shaped as a...Ch. 7 - The surface area Sofa ring in shape of a torus...Ch. 7 - Prob. 9PCh. 7 - Prob. 10P
Ch. 7 - Prob. 11PCh. 7 - Write a user-defined MATLAB function that...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Prob. 14PCh. 7 - Prob. 15PCh. 7 - Prob. 16PCh. 7 - Prob. 17PCh. 7 - Write a user-defined MATLAB function that converts...Ch. 7 - 19. Write a user-defined function that plots a...Ch. 7 - Prob. 20PCh. 7 - Prob. 21PCh. 7 - Prob. 22PCh. 7 - 23. The geometric mean GM of a set of n positive...Ch. 7 - Write a user-defined function that determines the...Ch. 7 - Prob. 25PCh. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined function that sorts the...Ch. 7 - Write a user-defined MATLAB function that finds...Ch. 7 - Write a user-defined MATLAB function that...Ch. 7 - Prob. 30PCh. 7 - The dew point temperature Tdand the relative...Ch. 7 - In a lottery the player has to select several...Ch. 7 -
33. The Taylor’s series expansion for cosx...Ch. 7 - Prob. 34PCh. 7 - Prob. 35PCh. 7 - Prob. 36PCh. 7 - Prob. 37PCh. 7 - Prob. 38PCh. 7 - Prob. 39PCh. 7 - In lottery the player has to guess correctly r...
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