O Find the following: Component du in the durection of v © the vector tor @v.u, Wl,lul the sScalar , Ivl, 14l the O v= loi + j -2k, u- 3j+4k
O Find the following: Component du in the durection of v © the vector tor @v.u, Wl,lul the sScalar , Ivl, 14l the O v= loi + j -2k, u- 3j+4k
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Problems
OFind the foltowing: N-u , Wl, l4l the Scalar
Component of u in the direction of v © the vector Proju
tor
O v= 1oi + j -2k , u- 3j+4k
@ v = 2i +1oj-k, u= 2i+2j+k
O v = 5j -3K, u= i+j+k
O v =-i+j, = V7 i +5j+2k
2 wrie u as the sum od avector Pavrallel to v and
a vector orthogonal to v.
O u-j+k, v= itj
® u= 8i +4j -12 k, v-i+2j -k
3 Find the angbs betwen he vecloo in
O u= 2i -2j+k, v= si +4k
@ u= V3 i -7j, v = Vitj-2k
O u= i+vaj-vTK, V= -i+j+k
tolwing:
4 A water Pipe is to beconstructed
with a 207, grade in the novth
divection andl a 10% grade in he cast
divection. Detemint the angle &
reguived in the water pipe tor the
turn from novth to cast.
Est
5 Find the length and divection tor (uxv) &(vxu) I
for the tolloy
O u= 2i +3j , v= -itj
O u=2i-2j +4k, v= -i+j-2k
® u= irj-K ,V=0
O u= -si -2j-4k, v= 2i+2j+k
O u= i-tj+k, v= i+j+2k
OFind @the anea of the triange determined by the points
P,a a R. Ofhe unit vector perpendicular toplane PaR.
O PU,1,1), Q (2,1,3), R(3,-11)
@ P (2,-2, 1), Q (3,-1,2), R(3,-1,1)
O P(-2,2,0), O(0,1,-1) , R (-1,2,-2)
A Find the velumo of the parallelepiped (bon) dek mineel
U,v, ond w.
O u= 2i , v = 2j , w= 2k
O uzi-j, v= zitj-2K, wa-itzj-k
O u: 2i+j, v- 2i-j+k, w=i+2k
O u= ż+j-2K , v= -i-k, w= 2i+4j-2k
8 Let u: 5i-j+k, v=j-5k, w= -isi+3j-3k. Which verro.
it any, are O perpendicular paralled.
A Find the avea of the parallelograms whose vertics an belaw
O Al1,0), B(0,1),<(-1,0), D(0,-1)
@ A (0,), TS (7.3), (9,8), D(2,5)
3 A(-12) , 8 (2,0),171), D(4,3)
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