Given `A=hat(i)+hat(j)+hat(k)andB=-hat(i)-hat(j)-hat(k)` then (A-B) will make angle with A

If vec(A) = hat(i) + hat(j) + hat(k) and B = -hat(i) - hat(j) - hat(k) . Then angle made by (vec(A) - vec(B)) with vec(A) is :

If a=hat(i)+2hat(j)-2hat(k), b=2hat(i)-hat(j)+hat(k) and c=hat(i)+3hat(j)-hat(k) , then atimes(btimesc) is equal to

Find the angle between hat(i)+hat(j)+hat(k) and hat(i)+hat(j)-hat(k) .

Prove that [hat(i)hat(j)hat(k)]=1, and [hat(i)hat(k)hat(j)]=-1 .

(hat(i) + hat(j) - hat(k)).(hat(i) - hat(j) + hat(k)) =_________

If vec(A)=2hat(i)+hat(j)+hat(k) and vec(B)=hat(i)+hat(j)+hat(k) are two vectors, then the unit vector is

The angle between the line r=(hat(i)+2hat(j)-hat(k))+lamda(hat(i)-hat(j)+hat(k)) and the plane r*(2hat(i)-hat(j)+hat(k))=4 is

A vector perpendicular to (hat(i)+hat(j)+hat(k)) and (hat(i)-hat(j)-hat(k)) is :-