4 A water Pipe is to beconstructed with a 207, grade in the novth divection and a 10% grade in the cast diveckion. Delemint the angle & reguived in the water pipe tor the turn from north to east. Est

Elements Of Electromagnetics
7th Edition
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Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
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4 A water pipe is to beconstructed
with a 207 grade in the novth
divection and a 10% grade in the cast
divection. Deteomint the angle &
reguived in the wafer pipe tor the
turn from novth to east.
Est
5 Find the length and divection for (uxv) X(vxu) 19
for the tollowtings
O u=zi+3j , v= -i+j
@ u=2i-2j ++k vーit)-2K
® u= irj-K, v=0
@ u= -gi -2j-4K, v= 2i+2j+k
O u= i-tjtk, v= i+j+2k
Find @the area of the triange determined by the point
P,a & R. Othe unit vector perpendicular toplane PaR.
O PU, 1,1), Q(2,1,3), R(3,-1,1)
@ P (2,-2, 1) , Q (3,-1,2), R(,-1,1)
O P(-2,2,0), Q(0,1,-1) , R (-1,2,-2)
A Find the volumo of the parallelopiped Cbon) dek mincl by
U,v, ond w.
u= 2i , v=2j, w= 2k
O uz i-j k, v= 2itj-2K, w= -i+2j-k
® u= 2i+j, v=zi-j+k, w= i+2K
i+j-2K , v=-i-k, W= zi+4j -2K
8 Let u= 5i-j+k, v=j-5k, w= -isi+3j-3k. Which verdns.
if
are @ perpendicular ® paralled.
T Find the aveas
☺ All,o), B(0,1),<(-l,0), D(0,-1)
A (010) , TS (7.3) , e(9,8), D(2,5)
A(-12) , B (2,0) , c(7i1) ,D(4,3)
of the parallelograms whese vertices an below:
Transcribed Image Text:4 A water pipe is to beconstructed with a 207 grade in the novth divection and a 10% grade in the cast divection. Deteomint the angle & reguived in the wafer pipe tor the turn from novth to east. Est 5 Find the length and divection for (uxv) X(vxu) 19 for the tollowtings O u=zi+3j , v= -i+j @ u=2i-2j ++k vーit)-2K ® u= irj-K, v=0 @ u= -gi -2j-4K, v= 2i+2j+k O u= i-tjtk, v= i+j+2k Find @the area of the triange determined by the point P,a & R. Othe unit vector perpendicular toplane PaR. O PU, 1,1), Q(2,1,3), R(3,-1,1) @ P (2,-2, 1) , Q (3,-1,2), R(,-1,1) O P(-2,2,0), Q(0,1,-1) , R (-1,2,-2) A Find the volumo of the parallelopiped Cbon) dek mincl by U,v, ond w. u= 2i , v=2j, w= 2k O uz i-j k, v= 2itj-2K, w= -i+2j-k ® u= 2i+j, v=zi-j+k, w= i+2K i+j-2K , v=-i-k, W= zi+4j -2K 8 Let u= 5i-j+k, v=j-5k, w= -isi+3j-3k. Which verdns. if are @ perpendicular ® paralled. T Find the aveas ☺ All,o), B(0,1),<(-l,0), D(0,-1) A (010) , TS (7.3) , e(9,8), D(2,5) A(-12) , B (2,0) , c(7i1) ,D(4,3) of the parallelograms whese vertices an below:
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