Find the magnitude of `oversetrarra+oversetrarrb-2oversetrarrc` where `oversetrarra=(2,3,4)oversetrarrb=(1,-1,2)` and `oversetrarrc=(1,0,3)`

If (oversetrarra+oversetrarrb)(oversetrarra-oversetrarrb)=12 and |oversetrarra|=2|oversetrarrb| then what is |oversetrarra|

If |oversetrarra|=10,|oversetrarrb|=1 and oversetrarra.oversetrarrb=0 , then |oversetrarraxxoversetrarrb|= _____.

If oversetrarra=2oversetrarrj and oversetrarrc=-3oversetrarrj what is the angle between oversetrarra and oversetrarrc ?

If oversetrarra.oversetrarrb=0 and oversetrarraxx(oversetrarrbxxoversetrarrc)=oversetrarr0 then oversetrarra.oversetrarrc=?

If oversetrarra,oversetrarrb,oversetrarrc are unit vectors such that oversetrarra+oversetrarrb+oversetrarrc=0 , then what is the vlue of oversetrarraoversetrarrb+oversetrarrboversetrarrc+oversetrarrcoversetrarra ?

Find a unit vector perpendicualr to each of the vectors (oversetrarra+oversetrarrb) (oversetrarra-oversetrarrb) where oversetrarra=overset^i+overset^j+overset^k and oversetrarrb=2overset^i+3overset^k

If [oversetrarraoversetrarrboversetrarrc]=10 , what is the value of [oversetrarra+oversetrarrb,oversetrarrb+oversetrarrc,oversetrarrc+oversetrarra] ?

If oversetrarra=(2,3,6),oversetrarrb=(2,-2,1),oversetrarrc=(-1,0,2) find the direction cosines of oversetrarrb-oversetrarra+2oversetrarrc .

Find the vector of magniltude 5 units and parallel to the resultant of the vectors oversetrarra=2overset^i+3overset^j-overset^k and oversetrarrb=overset^i-2overset^j+overset^k then find the angle between oversetrarra+oversetrarrb and oversetrarra-oversetrarrb .

What is the angle between the vectors oversetrarra=overset^i+overset^j+overset^k and oversetrarrb=2overset^i-overset^j+overset^k