MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Chapter 1, Problem 20P

The distance d from a point P (xp,yp,zp) to the line that passes through the two points A (xA,yA,zA) and B (xB,yB,zB) can be calculated by d=2S/r where r is the distance between the points A and B, given by r = ( x B x A ) 2 + ( y B y A ) 2 + ( z B z A ) 2 and S is the area of the triangle defined by the three points calculated by where s = s 1 2 + s 2 2 + s 3 3 where

s 1 = x P y A + x A y B + x B y P ( y P x A + y A x B + y B x P ) s 2 = y P z A + y A z B + y B z P ( z P y A + z A y B + z B y P ) s 3 = x P z A + x A z B + x B z P ( z P x A + z A x B + z B x P ) . Determine the distance of point P(2,6,-1) from the line that passes through point A(-2, -1.5,-3) and point B(-2.5,6,4). First define the variables xP,yP,zP, xA, yA, zA, xB,yB, and zB,and then use the variable tocalculate s1, s2, s3. and r. Finally calculate S and d.

Chapter 1, Problem 20P, The distance d from a point P (xp,yp,zp) to the line that passes through the two points A (xA,yA,zA)

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Chapter 1 Solutions

MATLAB: An Introduction with Applications

Ch. 1 - Two trigonometric identities are given by: (a)...Ch. 1 - Define two variables: alpha =8, and beta = 6....Ch. 1 - Given: x2cosxdx=2xcosx+x22sinx . Use MATLAB to...Ch. 1 - A rectangular box has the dimensions shown. (a)...Ch. 1 - The are length of a segment of a parabola ABC is...Ch. 1 - The three shown circles, with radius 15 in., 10.5...Ch. 1 - A frustum of cone is filled with ice cream such...Ch. 1 - 18. In the triangle shown a =27 in., b 43 in.,...Ch. 1 - For the triangle shown, a = 72°, ß=43°, and its...Ch. 1 - The distance d from a point P (xp,yp,zp) to the...Ch. 1 - The perimeter of an ellipse can be approximated...Ch. 1 - A total of 4217 eggs have w be packed in boxes...Ch. 1 - A total of 777 people have to be transported using...Ch. 1 - Change the display to format long g. Assign the...Ch. 1 - The voltage difference Vabbetween points a and b...Ch. 1 - The current in a series RCL circuit is given by:...Ch. 1 - The monthly payment M of a mortgage P for n years...Ch. 1 - The number of permutations nProf taking r Objects...Ch. 1 - The number of combinations Cn,r of taking r...Ch. 1 - The equivalent resistance of two resistors R1and...Ch. 1 - The output voltage Voutin the circuit shown is...Ch. 1 - Radioactive decay of carbon-14 is used for...Ch. 1 - The greatest common divisor is the largest...Ch. 1 - The amount of energy E (in joules) that is...Ch. 1 - According to the Doppler effect of light, the...Ch. 1 - Newton’s law of cooling gives the temperature T(t)...Ch. 1 - The velocity v and the falling distance d as a...Ch. 1 - Use the Help Window to find a display format that...Ch. 1 - Gosper’s approximation for factorials is given by:...Ch. 1 - According to Newton’s law of universal...
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