If vector a and vector b are two vectors of the same magnitude inclined at an angle of 30° such that vector a. vector b = 3

Question

If  \(\vec a\) and  \(\vec b\) are two vectors of the same magnitude inclined at an angle of 30° such that  \(\vec a.\vec b=3\) find \(|\vec a|,|\vec b|.\)

Answer 1

Let  \(|\vec a|=|\vec b|=\text x\) 

The angle between these vectors is 30°

So, applying the formula,

So, the magnitude of  \(|\vec a|=|\vec b|=\cfrac{6}{\sqrt3}\)