Magnetic force is given by:
F = q*VxB
q = 1.6*10^-19 C
V = 3 i - 6 j + k
B = i + 2 j - k
VxB = (3 i - 6 j + k)x(i + 2 j - k)
VxB = (6 - 2) i - (-3 - 1) j + (6 - (-6)) k
VxB = 4 i + 4 j + 12 k
|VxB| = sqrt (4^2 + 4^2 + 12^2) = 13.266
So,
F = q*|VxB| = 1.6*10^-19*13.266
F = 2.12*10^-18 N
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