If vector `vec(A)=hat(i)+2hat(j)+4hat(k)` and `vec(B)=5hat(i)` represent the two sides of a triangle, then the third side of the triangle can have length equal to

If vectors vec(A) = hat(i) + 2hat(j) + 4hat(k) and vec(B) = 5 hat(i) represent the two sides of a triangle, then the third side of the triangle can have length equal to:

If vectors vec(A)=(hat(i)+2hat(j)+3hat(k))m and vec(B)=(hat(i)-hat(j)-hat(k))m represent two sides of a triangle, then the third side can have length equal to :

If vectors vec(A)=(hat(i)+2hat(j)+3hat(k))m and vec(B)=(hat(i)-hat(j)-hat(k))m represent two sides of a triangle, then the third side can have length equal to :

If vectors vec(A)=(hat(i)+2hat(j)+3hat(k))m and vec(B)=(hat(i)-hat(j)-hat(k))m represent two sides of a triangle, then the third side can have length equal to :

If the vectors (hat(i) + hat(j) + hat(k)) and 3hat(i) form two sides of a triangle, then area of the triangle is :

If the vectors (hat(i) + hat(j) + hat(k)) and 3hat(i) form two sides of a triangle, then area of the triangle is :

If the vector vec(AB) = 3hat(i) + 4hat(k) and vec(AC) = 5hat(i) - 2hat(j) + 4hat(k) are the sides of a triangle ABC, then the length of the median through A is-