Lec 27 | MIT 18.02 Multivariable Calculus, Fall 2007

Lecture 27: Vector fields in 3D; surface integrals and flux.

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Tags:

• calculus
• vector-algebra
• determinants
• matrix
• matrices
• vector-valued-function
• space-motion
• scalar-function
• partial-differentiation
• gradient
• optimization-techniques
• double-integrals
• line-integrals
• exact-differential
• conservative-fields
• Green's-theorem
• triple-integrals
• surface-integrals
• applications

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[bigbawsdogg]

how come in the first example of the sphere F.nhat = a and not 1/a and in the second example H.nhat = z^2/a instead of az^2

[TanjaMaidacr173]

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[dtwc4]

@shuffledream nope, maybe a bit too late but he did mean tangent. take a look at the first example he did ~18mins. The vector field is parallel to the normal but the answer isn't zero.

and any 2 perpendicular vector dot each other would give zero, so that should explain 14:27 as well