Representation of Vectors
Trending Questions
Q. a and b are two non-collinear vectors, then xa+yb (where x and y are scalars) represents a vector which is
- Parallel to a
- None of these
- Coplanar with a and b
- Parallel to b
Q. ntThree vectors a, b, c are such that a+b+c=0. If a=3, b=4, c=5, show that ab=bc=ca=-25n
Q.
A vector →a has components 2p and 1 with respect to a rectangular Cartesian system. This system is rotated through a certain angle about the origin in the counter-clockwise sense. If with respect to the new system, →a has components (p+1) and 1, then
p=0
p=1 or p=−13
p=−1 or p=13
p=1 or p=−1
Q. State whether the statement is True or False.
The square of (5−x+2x) is equal to 21+x2+4x2−10x+10x.
- True
- False
Q.
ABCD is a parallelogram and A1 and B1 are the mid-points of the sides BC and CD respectively.
If →AA1+→AB1=λ →AC, then ′λ′ is equal to
1
12
32
2
Q. A vector →a has components 2p and 1 with respect to a rectangular coordinate system.This system is rotated through a certain angle about the origin in the counterclockwise sense.If with respect to the new system, →a has components p+1 and 1, then p=
- 1
- −13
- −1
- 13
Q. A vector a has components 2p and 1 with respect to a rectangular cartesian system. The system is rotated through a certain angle about the origin in the anti-clockwise sense. If a has components p+1 and 1 with respect to the new system, then
- p=1 or −13
- p=−1 or 13
- p=1 or −1
- p=0
Q. The Square of the magnitude of the vector 3^i+4^j+5^k will be __