Calculating New Vector Components

Thread starter josh84
Start date Sep 9, 2007
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Vectors

AI Thread Summary

A vector in the xy plane with an initial x component of 4 and a y component of 10 is rotated, resulting in the x component being doubled to 8. To find the new y component, the magnitude of the original vector is calculated, which is approximately 11.66. Using the cosine and sine of the angle of rotation, the new y component is determined to be around 7.2. The correct answer from the options provided is B. The discussion emphasizes the importance of understanding vector components and their relationships during rotation.

Sep 9, 2007

josh84

Homework Statement

A certain vector in the xy plane has an x component of 4 and a y component of 10. It is rotated in the xy plane so its x component is doubled. Its new y component is about:
A. 20
B.7.2
C.5.0
D.4.5
E.2.2

Homework Equations

The Attempt at a Solution

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Sep 9, 2007

hage567

Homework Helper

You must show some work. What do you know about vectors? Do you know how to find the magnitude?

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