?A methane molecule has a carbon atom situated at the origin and four hydrogen atoms

Chapter 2, Problem 173

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A methane molecule has a carbon atom situated at the origin and four hydrogen atoms located at points P(1, 1, −1), Q(1, −1, 1), R(−1, 1, 1), and S(−1, −1, −1) (see figure).

a. Find the distance between the hydrogen atoms located at P and R.

b. Find the angle between vectors \(\overrightarrow{O S}\) and \(\overrightarrow{O R}\) that connect the carbon atom with the hydrogen atoms located at S and R, which is also called the bond angle. Express the answer in degrees rounded to two decimal places.

                                           

Text Transcription:

overrightarrow OS

overrightarrow OR

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