If `vec(a) = (1)/(sqrt10) (3hat(i) + hat(k) ) and vec(b) = (1)/(7) (2hat(i)+ 3hat(j)- 6hat(k))`, then the value of `(2 vec(a)- vec(b)).[(vec(a) xx vec(b)) xx (vec(a) +2 vec(b))]` is

If vec(a) = hat(i) + hat(j) + 2 hat(k) and vec(b) = 3 hat(i) + 2 hat(j) - hat(k) , find the value of (vec(a) + 3 vec(b)) . ( 2 vec(a) - vec(b)) .

If vec(a)= hat(i) - 2hat(j) + 5hat(k), vec(b)= 2hat(i) +hat(j)- 3hat(k) then what is (vec(a)- vec(b)).(3 vec(a) +vec(b)) equal to ?

Let vec(a)= hat(i) +hat(j)+2hat(k) and vec(b)= -hat(i) +2hat(j) +3hat(k) . Then the vector product (vec(a) +vec(b)) xx ((vec(a) xx ((vec(a)-vec(b)) xx vec(b))) xx vec(b)) is equal to

If vec(a)=(hat(i)+2hat(j)-3hat(k)) and vec(b)=(3hat(i)-hat(j)+2hat(k)) then the angle between (vec(a)+vec(b)) and (vec(a)-vec(b)) is

If vec(a)= 3hat(i) + hat(j) + 2hat(k) and vec(b)= 2hat(i)-2hat(j) + 4hat(k) , then the magnitude of vec(b) xx vec(a) is