The vectors and are coplanar, if m is equal to.
1
4
3
Given vectors are coplanar.
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
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
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
Consider points A,B,C and D with position vector respectively. Then, ABCD is a.
Square
Rhombus
Rectangle
None of these
ABCD is a quadrilateral, P,Q are the midpoints of and , then is equal to
If = (1,-1) and = (-2, m) are two collinear vectors, then m is equal to
0
2
Given, , then x, y, z are respectively.
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
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