If `veca, vecb and vecc ` are , mutually perpendicular vcetors and `veca=alpha(vecaxxvecb)+beta(vecbxxvecc)+gamma(veccxxveca)and [vecavecbvecc] =1` , then find the value of `alpha +beta +gamma`

Explanation

Taking dot poduct with `veca ,vecb and vecc` , respectively we get
`|veca|^(2)=beta.[vecavecbvecc]=beta`
`0=gamma.[veca vecbvecc]=gamma`
` and 0=alpha.[veca vecbvecc]=alpha`
`alpha+beta+gamma=|veca|^(2)`