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Solved: Normal and tangential components Determine whether
Chapter 14, Problem 18E(choose chapter or problem)
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.
\(\mathbf{F}=\langle y,-x\rangle, \text { where } C=\left\{(x, y): x^{2}+y^{2}=1\right\} \text { and } \mathbf{n}=\langle x, y\rangle\)
Questions & Answers
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.
\(\mathbf{F}=\langle y,-x\rangle, \text { where } C=\left\{(x, y): x^{2}+y^{2}=1\right\} \text { and } \mathbf{n}=\langle x, y\rangle\)
ANSWER:Solution 18E
Step 1