If = (1,-1) and = (-2, m) are two collinear vectors, then m is equal to
0
4
2
1
If and are vectors such that , then the angle between and is
120o
60o
90o
30o
If C is the midpoint of AB and P is any point outside AB, then
The non-zero vectors Then, the angle between is.
π
π/4
π/2
A, B C, D, E, F in that order, are the vertices of a regular hexagon with centre origin. If the position vectors of the vertices A and B are respectively. is equal to
If then the angle between and is
45o
180o
The vectors and are coplanar, if m is equal to.
3
Given vectors are coplanar.
If the position vector of A with respect to O is then the position vector of B with respect to 0 is
Let and , are non - zero and non- collinear vectors. If there exists scalars α, β such that α + β = , then
α = β ≠ 0
α + β = 0
α = β = 0
α = β
I Two non- zero, non collinear vectors are linearly independent.
II. Any three coplanar vectors are linearly dependent. Which of the above statements is/ are true?
Only I
Only II
Both I and II
Neither I nor II