prove:`[hata×hatb hatb×hatc hatc×hata]=[hata hatb hatc]^2`

What is the value of hata*hatb+hatb*hatc+hatc*hata if hata+hatb+hatc=vec0 ?

If hata, hatb and hatc are non-coplanar unti vectors such that [hata hatb hatc]=[hatb xx hatc" "hatc xx hata" "hata xx hatb] , then find the projection of hatb+hatc on hata xx hatb .

If hata, hatb and hatc are non-coplanar unti vectors such that [hata hatb hatc]=[hatb xx hatc" "hatc xx hata" "hata xx hatb] , then find the projection of hatb+hatc on hata xx hatb .

If vectors hata, hatb, hatc are in space such that hata.hatb=hatb.hatc=hatc.hata=1/2 , then (hataxxhatb).(hataxx(hatbxxhatc)) is equal to

The edges of a parallelopiped are of unit length and are parallel to non-coplanar unit vectors hata, hatb, hatc such that hata.hatb=hatb.hatc=hatc.hata=1//2. Then the volume of the parallelopiped is :

The edges of a parallelopiped are of unit length and a parallel to non-coplanar unit vectors hata, hatb, hatc such that hata.hatb=hatb.hatc=hatc.veca=1//2 . Then the volume of the parallelopiped in cubic units is

The edges of a parallelopiped are of unit length and a parallel to non-coplanar unit vectors hata, hatb, hatc such that hata.hatb=hatb.hatc=hatc.veca=1//2 . Then the volume of the parallelopiped in cubic units is

The edges of a parallelopiped are of unit length and are parallel to non coplanar unit vectors hata,hatb,hatc such that hata.hatb=hatb.hatc=hatc.hata=1/2 Then the volume of the parallelopiped is (A) 1/sqrt(2) (B) 1/(2sqrt(2)) (C) sqrt(3)/2 (D) 1/sqrt(3)

Let hata and hatb be unit vectors at an angle (pi)/(3) with each other. If (hatatimes(hatbtimeshatc))*(hatatimeshatc)=5 then Statement-I [hata hatb hatc]=10 Statement-II [x y z]=0, if x=y or y=z or z=x

Let hata and hatb be unit vectors at an angle (pi)/(3) with each other. If (hatatimes(hatbtimeshatc))*(hatatimeshatc)=5 then Statement-I [hata hatb hatc]=10 Statement-II [x y z]=0, if x=y or y=z or z=x