If `bar(OA)=overset(^)i+3overset(^)j-2overset(^)k and bar(OB)=3overset(^)i+overset(^)j-2overset(^)k,` then the vectors `bar(OC)` which bisects `angleAOB` is equal to

If oversetrarra=overset^i+2overset^j-3overset^k and oversetrarrb=3overset^i-overset^j+2overset^k then find the angle between

The vectors bar(AB)=3overset(^)i+5overset(^)j+4overset(^)k and bar(AC)=5overset(^)i-5overset(^)j+2overset(^)k are sides of a triangle ABC . The length of the median through A is....units.: a) sqrt13 b) 2sqrt5 c) 5 d) 10

The vectors bar(AB)=3overset(^)i+5overset(^)j+4overset(^)k and bar(AC)=5overset(^)i-5overset(^)j+2overset(^)k are sides of a triangle ABC The length of the median through A is

If the vectors overset(^)i+2overset(^)k,overset(^)j+overset(^)k and lambda overset(^)i+mu overset(^)j collinear, then

If the vectors overset(^)i+2overset(^)k,overset(^)j+overset(^)k and lambda overset(^)i+mu overset(^)j collinear, then

If bara=overset(^)i+overset(^)j-2overset(^)k,barb=2overset(^)i-overset(^)j+overset(^)k and barc =3overset(^)i+overset(^)k and barc=mbara+nbarb then m+n

If bara=overset(^)i+overset(^)j-2overset(^)k,barb=2overset(^)i-overset(^)j+overset(^)k and barc =3overset(^)i+overset(^)k and barc=mbara+nbarb then m+n

If bara=3overset(^)i-2overset(^)j+2overset(^)k,barb=6overset(^)i+4overset(^)j-2overset(^)k and barc=3overset(^)i-2overset(^)j-4overset(^)k, then bara(barbxxbarc) is