Question

Find the components of the vector $vec{V}$ obtained by rotating the vector $vec{U}=2hat{i}+hat{j}$ by a $30^circ$ angle in the $y-z$ plane, where the angle is measured "from the $y$-axis to the $z$-axis". Prove that the magnitude has not changed.

Name: find the components of the vector vecv obtained by rotating the vector vecu2hatihatj by a 30circ angle in the y z plane where the angle is measured from the y axis to the z axis prove that t 86438
Uploaded: 2021-09-15T06:16:01-08:00
Duration: 2 min 6 s
Channel: Uma Kumari
Description: find the components of the vector vecv obtained by rotating the vector vecu2hatihatj by a 30circ angle in the y z plane where the angle is measured from the y axis to the z axis prove that t 86438

          Find the components of the vector $vec{V}$ obtained by rotating the vector $vec{U}=2hat{i}+hat{j}$ by a $30^circ$ angle in the $y-z$ plane, where the angle is measured "from the $y$-axis to the $z$-axis". Prove that the magnitude has not changed.

Added by Jonathan C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Uma Kumari

09/15/2021

Step 1

Given that $\vec{U} = 2\hat{i} + \hat{j}$, we can see that the $x$ component is 2, the $y$ component is 1, and the $z$ component is 0. Show more…

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Find the components of the vector $vec{V}$ obtained by rotating the vector $vec{U}=2hat{i}+hat{j}$ by a $30^circ$ angle in the $y-z$ plane, where the angle is measured "from the $y$-axis to the $z$-axis". Prove that the magnitude has not changed.