If the position vector of A with respect to O is , then the position vector of B with respect of O is
If m1, m2, m3, and m4 are respectively the magnitudes of the vectors , then the correct order of m1, m2, m3, and m4 is
m3 < m1 < m4 < m2
m3 < m1 < m2 < m4
m3 < m4 < m1 < m2
m3 < m4 < m2 < m1
Direction of zero vector
does not exist
is towards origin
is indeterminate
None of these
If , then the unit vector in the direction of is
The perimeter of the triangle whose vertices have the position vectors is
If G is the centroid of the , then is equal to
If the position vectors of the vertices of are , then the triangle ABC is
right angled and isosceles
right angled, but not isosceles
Isosceles but not right angled
equilateral
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
-6
-4
6
4
A vector has components 2p and 1 with respect to a rectangular Cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense, if this respect to new system, has components p +1 and 1, then
p = 0
p = 1 or
p = -1
p = 1 or p = -1
are three non-zero vectors, no two of them are parallel. If is collinear to and is collinear to , then is equal