What is the angle (in degrees) between the bonds based on this new data?

Modern Physics
3rd Edition
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Chapter12: The Solid State
Section: Chapter Questions
Problem 18P
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In the methane molecule, CH4, each hydrogen atom is at the corner of a regular tetrahedron with the carbon atom at the center. If one of the C-H is in the direction of

 

and an adjacent C-H bond is at the direction

.

results to an angular bond of approximately 109o for a static frozen molecule. 

However, the molecule we can encounter everyday continuously vibrates and interact with the surrounding causing its bond vector to vary slightly. According to a new spectroscopy analysis, the adjacent bond vectors was found to be

A = 0.84i + 0.96j + 0.9k

B = 0.87i + -0.94j + -1.07k

What is the angle (in degrees) between the bonds based on this new data?

Note: Only 1% of error is permitted for the correct answer.

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