Question

Help please, I'm weak in this topic so I'd appreciate if you could add any explanation for all your working.

uppose that the vector field w has the form W-XY)Y where Y = X2 + y (a) Sketch a set of arrows on a surface of constant r showing the behaviour of w (b) on that surface (i) Use Vr r/r. ▼ × r 0, the product rule satisfied by ▼ and the chain rule satisfied by V to show that w is irrotational (ii) Find V w in terms of r,JX, di/dr. You will need to use V.r (ii) Hence, use the definition 3. of the Laplacian ▽2 on vector fields to find ▽2w in terms of r, r, dN/dr, Hint: There is no need to write V explicitly in terms of Or, ay, d. (or any other coordinate system) in any part of this question.]

Answer 1

ブ3 γ?