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Chapter 14: Q. 3 (page 1095)

What are the inputs of a vector field in the Cartesian plane?

Short Answer

Expert verified

The inputs of a vector field in the Cartesian plane are points in the xy plane, where $$x,y\epsilon D$$.

Step by step solution

01

Step 1. Given Information

A vector field in the cartesian plane.

02

Step 2. Explanation

We know that the vector fields take the points on the cartesian plane as inputs.

So, the vector fields in the cartesian plane take points in the xy plane as their inputs.

Therefore, for a function $$f(x,y)$$ having the domain $$D$$ have their inputs equal to $$x,y\epsilon D$$.

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Most popular questions from this chapter

What are the outputs of a vector field in 鈩�3?

ComputethedivergenceofthevectorfieldsinExercises17鈥�22.G(x,y,z)=yz2i鈭�xsinzj+x2exyk

F(x,y,z)=鈭�xzi鈭�yzj+z2k, where S is the cone with equation z=x2+y2between z=2,4, with n pointing outwards.

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