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posted by  Element on 9/2/2008 9:24:26 PM  |  status: Closed  

Vector

Course Textbook Chapter Problem
Calculus Based Physics N/A N/A N/A
Question Details:
 

 

In the cross (or vector) product  F = V x B we know that

F= -3i - 37j + 16k
V=  -5i + 3j + 6k
B= Bxi + Bxj + Bzk

In  B the x and y components have the same value, represented by Bx. What is the value of Bz?

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Oracle
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posted by palmreader on 9/2/2008 11:29:08 PM  |  status: Live
Asker's Rating: Lifesaver   
Element's comment:
"Thanks for all the help!"
Response Details:
F = V x B = i(3Bz-6Bx) + j(6Bx+5Bz) + k(-5Bx-3Bx) = -3i -37j + 16k

from the k component, -5Bx - 3Bx = 16
                                  -8Bx = 16
                                     Bx = -2

from the i component, 3Bz - 6Bx = -3           (substitute Bx = -2)
                                3Bz + 12 = -3
                                       3Bz = -15
                                         Bz = -5

∴ Bz = -5
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