In the product F(vector)= Qv(vector) x B(vector), take Q=5,
v(vector) = 2.0i + 4.0j + 6.0k and F(vector) = 270i -300j + 110k.
What then is B(vector) in unit-vector notation if Bx = By?
(i believe the x in the initial equation is cross product, not multiplication.)
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i____J_____k____i____J
2------4---------6------2------4
270---(-300)--110---270---(-300)
4(110)i+6(270)j+2(-300)k
-270(4)k-6(-300)i -2(110)j
which simplifies into
440i+1620j-600k-1080k+1800i-220j
added together, we have
2240i+1400j-1680k
and now for simplifying:
224i+140j-168k ->
112i+70j-84k ->
56i+35j-42k
_______
/8i+5j-6k/
-----------
you're welcome.
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