If ` vec a\ a n d\ vec b` are two vectors of the same magnitude inclined at an angel of`\ 60^0` such that ` vec adot vec b=8` write the value of their magnitude.

Explanation

Given: `|vec{a}|=|vec{b}|`


Given: ` vec{a} and vec{b} are inclined at an angle of 60^{circ}`


Given: `vec{a} cdot vec{b}=8`


`Rightarrow|vec{a}||vec{b}| cos 60^{circ}=8`


`Rightarrow|vec{a}||vec{a}|(frac{1}{2})=8`


`Rightarrow|vec{a}|^{2}=16`


`Rightarrow|vec{a}|=4`