If ` vec a\ a n d\ vec b` are two vectors of the same magnitude inclined at angle of `30^0` such that ` vec a dot vec b=3`,
find` | vec a|,| vec b|dot`

Explanation

Given that,
` vec a\ a n d\ vec b`
are two vectors of the same magnitude inclined at
angle of `30^0`
so,`|vec a|=|vec b|`
we have ,
` vec a * vec b=3`
we know that,
` vec a * vec b=|vec a||vec b| cos theta`
`=>3=|vec a|^2 cos 30^o`
`=>3/cos 30^o=|vec a|^2`
`=>|vec a|^2=2sqrt3`
`=>|vec a|=sqrt(2sqrt3)`
so,`|vec a|=|vec b|=sqrt(2sqrt3)`