Let be three non-zero vectors such that no two of these are collinear. If the vector + 2 is collinear with , then + 2 + 6 equals

The vector is rotated through an angle Q and doubled in magnitude, then it becomes . The values of x is

Direction of zero vector

If ABCDEF is regular hexagon, then the value of is

The non-zero vectors , and are related by = 8 and = -7. Then, the angle between and is

If ABCD be a parallelogram and M be the midpoint of intersection of the diagonals. If O is any point , then is

are three non-zero vectors, no two of them are parallel. If is collinear to and is collinear to , then is equal

If position vectors of A and B are , then magnitude of is

Let ABC be a triangle, the position vectors of whose vertices are respectively . Then, the is

In a quadrilateral ABCD, the point P divides DC in the ratio 1 : 2 and Q is the midpoint AC. If , then k is equal to