Collinear Vectors
Trending Questions
Q.
If If is a unit vector such that then is (are) equal to
Q.
Let →a, →b and →c be three non -zero vectors such that no two of these are collinear. If the vector →a+2→b is collinear with →c and →b+3→c is collinear with →a (λ being some non -zero scalar) then →a+2→b+6→c equals
λ→a
λ→b
λ→c
0
Q.
If →a, →b, →c are three non-zero vectors, no two of which are collinear, →a+→b is collinear with →c and →b+3→c is collinear with →a, then |→a+2→b+6→c| will be equal to
9
1
None of these
zero
Q. The three points whose position vectors are ^i+2^j+3^k, 3^i+4^j+7^k and−3^i−2^j−5^k
- form the vertices of an equilateral triangle
- form the vertices of a right angled triangle
- are collinear
- form the vertices of an isosceles triangle.
Q. Let a, b and c be three nonzero vectors, no two of which are collinear. If the vector a+2b is collinear with c, and b+3c is collinear with a, then a+2b+6c =
- λc
- 0
- λb
- λa
Q. If →a is a vector of magnitude 50 and is collinear with the vector →b=6^i−8^j−152^k and makes an obtuse angle with the positive direction of z - axis, then →a is equal to
- 24^i−32^j−30^k
- 24^i+32^j+30^k
- 12^i−16^j−15^k
- None of these
Q.
If the points A, B and C have position vectors (2, 1, 1), (6, -1, 2) and (14, -5, P) respectively and if they are collinear, then P =
2
8
4
6
Q. If →a×→b is defined as |→a|∣∣→b∣∣ sinθ where θ is the angle between →a and →b and it is given that →a and →b are collinear vectors, then →a×→b =;___
Q.
The points with position vectors 60^i+3^j, 40^i−8^j, a^i−52^j are collinear, if
a = -40
a = 40
None of these
a = 20