Show that the vector field defined by Fሬ⃗ = 2xyz ଷ ⃗ı + x ଶ z ଷ ⃗ȷ + 3x ଶyz ଶkሬ⃗ is irrotational. Find also the scalar ∅ such that Fሬ⃗ = grad ∅.
Draw a line segment of length 7.6 cm and divide it in the ratio 5:8. Measure the two parts. Justification and steps