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3. Prove the following vector identities: a. V(uv)= uVv + vVu b. V.(uA)= u(V.) + (Vu). c. V.(xB)= B.(Vx) - A.(VXB) d. V(UA)= u(Vx)
3. Prove the following vector identities: a. V(uv)= uVv + vVu b. V.(uA)= u(V.) + (Vu). c. V.(xB)= B.(Vx) - A.(VXB) d. V(UA)= u(Vx) - AX(Vu) where u(x,y,z), v(x.y.z) is a scalar field; A (x.y,z), B (x.y,z) is a vector field.
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Calculus Early Transcendentals
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
2nd edition
321954428, 321954424, 978-0321947345
