A vector ` vec r` is inclined at equal to `O X ,O Ya n dO Zdot` If the magnitude of ` vec r` is 6 units, find ` vec rdot`

Explanation

Let `l,m,n` be the direction cosines of `vecr` which is equally inclined to the coodinate axes. Then,
`:.l=m=n=-1/(sqrt(3))`
Hence `vecr=|vecr|(lhati+mhatj+nhatk)`
`impliesvecr=6(+-1/(sqrt(3))hati+-1/(sqrt(3))hatj+-1/(sqrt(3))hatk)impliesvecr=2sqrt(3)(+-hati+-hatj+-hatk)`