If are adjacent sides of a parallelogram, then the lengths of its diagonals are
The perimeter of the triangle whose vertices have the position vectors 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
Let ABC be a triangle, the position vectors of whose vertices are respectively . Then, the is
isosceles
equilateral
right angled isosceles
None of these
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
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
λ (λ ≠ 0, a scalar)
0
If , then the value of is
If = (2,1,-1), = (1,-1,0), =(5,-1,1) then unit vector parallel to but in opposite direction is
If and are the position vectors of A and B, then position vector of a point C on AB produced such that AC = 3 AB is
are three non-zero vectors, no two of them are parallel. If is collinear to and is collinear to , then is equal