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[15 points] A particle of charge of 1.6× 10-1⁹ C

is moving with a velocity equal to \(

\overrightarrow{v} \) = (400) \(\widehat{i} \) + (

-500) \(\widehat{j} \) + (700) \(\widehat{k} \)

m/s is in a region of magnetic field given by \(

\overrightarrow{B} \)= (-0.948) \(\widehat{i}

\) + (0.921) \(\widehatj} \) + (0.172) \(

\widehat{k} \) T. A magnetic force (

\overrightarrow{F} \) will be applied on the

particle.

a) [5 points] Find the \(F_{x}\), the x-component

of \(\overrightarrow{F} \)

\(F_{x}\) =

b) [5 points] Find the \(F_{y}\), the y-component

of \(\overrightarrow{F} \)

\(F_{y}\) =

N

c) [5 points] Find the \(F_{z}\), the z-component

of \( \overrightarrow{F} \)

\(F_{z}\) =

myportal.aum.edu.kw

N

Fig: 1