Chapter 1: Problem 9
A field is given as \(\mathbf{G}=\left[25 /\left(x^{2}+y^{2}\right)\right]\left(x \mathbf{a}_{x}+y \mathbf{a}_{y}\right) .\) Find \((a)\) a unit vector in the direction of \(\mathbf{G}\) at \(P(3,4,-2) ;(b)\) the angle between \(\mathbf{G}\) and \(\mathbf{a}_{x}\) at \(P\); (c) the value of the following double integral on the plane \(y=7\). $$ \int_{0}^{4} \int_{0}^{2} \mathbf{G} \cdot \mathbf{a}_{y} d z d x $$
Short Answer
Step by step solution
Key Concepts
These are the key concepts you need to understand to accurately answer the question.