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2.3 Exercise 16

Avg difficulty 2.5

At one point in space, the direction of the electric field vector is given in the Cartesian system by the unit vector E^=1/5i^−2/5j^\hat{E} = 1 / \sqrt{5} \hat{i} - 2 / \sqrt{5} \hat{j}. If the magnitude of the electric field vector is E = 400.0 V/m, what are the scalar components ExE_{x}, EyE_{y}, and EzE_{z} of the electric field vector E→\overset{\rightarrow}{E} at this point? What is the direction angle θE\theta_{E} of the electric field vector at this point?

OpenStax University Physics Volume 1, 2.3 Algebra of Vectors, exercise 16

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Adapted from University Physics Volume 1 © 2016 Rice University. Licensed under CC BY 4.0. Source: University Physics Volume 1. Imported at revision db44eb9.