? From the definition of V we construct the curl: Vxv= a/ax / ŷ Ĉ /a Ux Vy Vz = ✰ ( მა- avy aux მა. avy θυχ +ŷ +2 (1.41) ду Əz Əz дх Əx ду Problem 1.19 Draw a circle in the xy plane. At a few representative points draw the vector v tangent to the circle, pointing in the clockwise direction. By comparing adjacent vectors, determine the sign of avx/ay and avy/ax. According to Eq. 1.41, then, what is the direction of V x v? Explain how this example illustrates the geo- metrical interpretation of the curl.

? From the definition of V we construct the curl: Vxv= a/ax / ŷ Ĉ /a Ux Vy Vz = ✰ ( მა- avy aux მა. avy θυχ +ŷ +2 (1.41) ду Əz Əz дх Əx ду Problem 1.19 Draw a circle in the xy plane. At a few representative points draw the vector v tangent to the circle, pointing in the clockwise direction. By comparing adjacent vectors, determine the sign of avx/ay and avy/ax. According to Eq. 1.41, then, what is the direction of V x v? Explain how this example illustrates the geo- metrical interpretation of the curl.