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Differential Geometry   3. In each case, express the given vector field V in the standard form...

Differential Geometry

  3. In each case, express the given vector field V in the standard form (b) V(p) = ( p1, p3 - p1, 0)p for all p. (c) V = 2(xU1 + yU2) - x(U1 - y2 U3). (d) At each point p, V(p) is the vector from the point ( p1, p2, p3) to the point (1 + p1, p2p3, p2). (e) At each point p, V(p) is the vector from p to the origin.

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