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

The vectors 2 hat(i) + 2 hat(j) + 4 hat(k) and 6 hat(i) represent the two sides of a triangle . Find the following . the area of the triangle

The vectors 2 hat(i) + 2 hat(j) + 4 hat(k) and 6 hat(i) represent the two sides of a triangle . Find the following . a vector perpendicular to the plane of the triangle .

The adjacent sides AB and AC of a triangle ABC are represented by the vectors -2 hat(i) + 3 hat(j) + 2 hat(k) and -4hat(i) + 5 hat(j) + 2 hat(k) respectively. The area of the triangle ABC is

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 the vectors AB = hat(i) + 3 hat(j) + 4 hat(k) , AC = 5 hat(i) + hat(j) + 2 hat(k) are two sides of a triangle ABC, whose centroid is G, then |AG|=

The vectors 3hat i-2hat j+hat k,hat i-3hat j+5hat k and 2hat i+hat j-4hat k form the sides of a triangle.Then triangle is (A) an acute angled triangle (C) an equilateral triangle (B) an obtuse angled triangle (D) a right angled triangle

The vectors 3hat i-2hat j+hat k,hat i-3hat j+5hat k,&2hat i+hat j-4hat k form the sides of a triangle.Then triangle is

The vectors 3hat i-2hat j+hat k,hat i-3hat j+5hat k&hat i+hat j-4hat k form the sides ofa triangle.Then triangleis is

If the vectors hat i- hat j , hat j+ hat k and vec a form a triangle, then vec a may be a. - hat i- hat k b. hat i-2 hat j- hat k c. 2 hat i+ hat j+ hat k d. hat i+ hat k