Vector A has a magnitude of 17 units, vector B has a magnitude of 9.2 units, and A * B has a value of 14.0. What is the angle between the directions of Vector A and B ?

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Answer 1 · 2018-07-19T16:34:29

The angle is #=84.9^@#

Apply the dot product definition

#vecA.vecB=|vecA|*|vecB|*costheta#

Where

The angle between the #2# vectors is #=theta#

Plugging in the values in the equation

#14=17xx9.2*costheta#

#costheta=14/(17xx9.2)=0.09#

Therefore,

#theta=arccos(0.09)=84.9^@#