Bond Angle in Methane. In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the carbon atom at the center. In coordinates for which one of the C - H bonds is in the direction of an adjacent C - H bond is in the direction. Calculate the angle between these two bonds.

Solution 88P We can consider the provide direction of the bond as vector and then calculate the angle using vector. Step 1 The dot product of two vector A and B is given by A · B = |A||B|cos ……………………………(1) Here, theta is the angle between the vectors. Now if we write the vector in terms of its component, then the dot product can be written as A · B = AxBx+ A y +yA Bz……z………..(2) Using the above two equation we can calculate the angle.