P29_071 - 71. (a) We use Eq. 29-2 and Eq. 3-30: = qv B = F...

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71. (a) We use Eq. 29-2 and Eq. 3-30: ~ F = q~v × ~ B =( + e ) ³ ( v y B z v z B y ) ˆ i+( v z B x v x B z ) ˆ j+( v x B y v y B x ) ˆ k ´ = ( 1 . 60 × 10 19 ) ³ ((4)(0 . 008) ( 6)( 0 . 004)) ˆ i+ (( 6)(0 . 002) ( 2)(0 . 008)) ˆ j+(( 2)( 0 . 004) (4)(0 . 002)) ˆ k ´ = ( 1 . 28 × 10 21 ) ˆ i+ ( 6 . 41 × 10 22 ) ˆ j with SI units understood. (b) By defnition oF the cross product, ~v ~ F . This is easily verifed by taking the dot (scalar) product oF ~v with the result oF part (a), yielding zero, provided care is taken not to introduce any round-o± error.
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