Answer: Normal and tangential components Determine whether

Chapter 14, Problem 19E

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QUESTION:

Normal and tangential components Determine whether the vector field F is tangent to or normal 10 the curve C at points on paints on C. A vector n normal to C is also given. Sketch C and a few representative vectors of F.

\(\mathbf{F}=\langle x, y\rangle \text {, where } C=\{(x, y): x=1\} \text { and } \mathbf{n}=\langle 1,0\rangle\)

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QUESTION:

Normal and tangential components Determine whether the vector field F is tangent to or normal 10 the curve C at points on paints on C. A vector n normal to C is also given. Sketch C and a few representative vectors of F.

\(\mathbf{F}=\langle x, y\rangle \text {, where } C=\{(x, y): x=1\} \text { and } \mathbf{n}=\langle 1,0\rangle\)

ANSWER:

Solution 19EStep 1A vector field is basically a function which assigns every point of a vector at that point.

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