Exercise 1201Calculus › Multivariable calculus › Vector calculusL1Added 3 Nov 2026

Flux through a flat surface

#flux#plane surface#dot product

Statement

Compute the flux of $\vec F=(1,2,3)$ through the unit square in the plane $z=0$ , oriented upward.

Hint

Flux $=\vec F\cdot\vec n\cdot\text{area}$ .

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Normal. $\vec n=(0,0,1)$ .

Flux. $(1,2,3)\cdot(0,0,1)\cdot1=3$ .

Conclusion. Flux $=3$ .