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
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
The non-zero vectors Then, the angle between is.
π
0
π/4
π/2
If then the unit vector in the direction of is.
Two vector and of equal magnitude 5, originating from a point and directs respectively towards north east and north- west. Then, the magnitude of - is
3√2
2√3
2√5
5√2
The position vectors of P and Q are respectively and . If R is a point on such that , then the position vector of R is
If then the angle between and is
45o
180o
60o
90o
If then angle between and is
π/6
π/3
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
If = (1,-1) and = (-2, m) are two collinear vectors, then m is equal to
4
2
1
