9-The distance d between the parallel planes -2x+y+z 0, 6x-3y-3z-5-0 is: a) V54 b) 54 V5 d) 3 c) e). 3V2

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter81: Introduction To Computer Numerical Control (cnc)
Section: Chapter Questions
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mediator analysis, solve question 9 please 

QI: Circle the correct answer:
1- The acute angle of intersection of the planes x=0, 2x- y+z-4 =0 is :
a) cos
b) cos ()
c) cos"
16
d) cos "
e) пone
2- Let v= 21-j+3k, b=i+2j+2k , then proj,v=
242
a) <
3 3 3
4 75
b) <:
3 3'3
24 4
c)
3 3'3
d) <4 7 5
3 3'3
e) none
3- The lines: L4:x=21, y 3+4r, z=2-61, L:x=1+3r, y = 61,2=-91 are:
a) orthogonal
b) skew
c) parallel
d) intersect
e) none
4- The direction cosines of <2,-1,3>are:
2.
a)
V14 V14 V14
1-3 2
c)
14 14 14
-3
2 -1 3
b) 14 J14 V14
2 -1 3
d)
14' 14 14
e) none
5- Let u=<-1,l>,v=< 0,1 > and w=< 3,4 > then the vector x that satisfies u-2x = x-w+3
2 1
c) <53
b) <a
d) <
a)
0>
22
e) none
3 3
6- Let u=<2,-6,2>, v =< 0, 4,-2 >, w=<2,2,-4>, then the volume of parallelepiped tha
has u,v, and w as adjacent edges is:
a) 6
b) 8
c) 16
d) 24
e) none
7- The angle between the vector u=6i+j+3k and v= 4i- 6k is:
a) an obtuse angle b) an acute angle c) -z
d)
e) none
8- The intersection point of the line x 2-1, y 3t, z= -1+2t with the plane 2 y+3z =6 is
5 2 1,
c)
4 9 2
59 1
d)
4 4 2
a)
,0,
b)
e) none
9-The distanced between the parallel planes -2x+y+z=0, 6x-3y-3z-5-0 is:
5
a)
V54
b)
54
c)
V5
V5
d)
3
e)
3/2
Transcribed Image Text:QI: Circle the correct answer: 1- The acute angle of intersection of the planes x=0, 2x- y+z-4 =0 is : a) cos b) cos () c) cos" 16 d) cos " e) пone 2- Let v= 21-j+3k, b=i+2j+2k , then proj,v= 242 a) < 3 3 3 4 75 b) <: 3 3'3 24 4 c) 3 3'3 d) <4 7 5 3 3'3 e) none 3- The lines: L4:x=21, y 3+4r, z=2-61, L:x=1+3r, y = 61,2=-91 are: a) orthogonal b) skew c) parallel d) intersect e) none 4- The direction cosines of <2,-1,3>are: 2. a) V14 V14 V14 1-3 2 c) 14 14 14 -3 2 -1 3 b) 14 J14 V14 2 -1 3 d) 14' 14 14 e) none 5- Let u=<-1,l>,v=< 0,1 > and w=< 3,4 > then the vector x that satisfies u-2x = x-w+3 2 1 c) <53 b) <a d) < a) 0> 22 e) none 3 3 6- Let u=<2,-6,2>, v =< 0, 4,-2 >, w=<2,2,-4>, then the volume of parallelepiped tha has u,v, and w as adjacent edges is: a) 6 b) 8 c) 16 d) 24 e) none 7- The angle between the vector u=6i+j+3k and v= 4i- 6k is: a) an obtuse angle b) an acute angle c) -z d) e) none 8- The intersection point of the line x 2-1, y 3t, z= -1+2t with the plane 2 y+3z =6 is 5 2 1, c) 4 9 2 59 1 d) 4 4 2 a) ,0, b) e) none 9-The distanced between the parallel planes -2x+y+z=0, 6x-3y-3z-5-0 is: 5 a) V54 b) 54 c) V5 V5 d) 3 e) 3/2
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