Question

Q1). i). Given that ρs = x
3y + xy, calcultae ∮ ρs ds, over the region, y ≤ x
3
, 0 < ? < 1.
ii). Find the unit vector along the line joining point (-2, 8, 6) to point ( -6 , -2, -4).
iii). Determine the value of charge moving with a certain velocity
?̅= (5 ?̅̅?̅ + 6 ?̅̅?̅ − 3 ?̅̅?̅) × 103 m/s in a magnetic field velocity?̅ = (3 ?̅̅?̅ − 4 ?̅̅?̅ + 2 ?̅̅?̅) T.
The magnetic field is exerting a force of velocity ?̅ = 7 ?̅̅?̅ − ?̅̅?̅ + 2 ?̅̅?̅))mN on this charge.

Answer 1