Comparing Vectors
Trending Questions
Q. Vector necessarily changed, if it is rotated through an angle.
- False
- True
Q. The position vectors of four points A, B, C and D are^i+^j+^k, 2^i+5^j, 3^i+2^j−3^k, ^i−6^j−^k respectively. Then select the correct relation.
- AB=CD
- AB=12CD
- AB=23CD
- AB=14CD
Q. A vector may change if
- Vector is translated parallel to itself
- Frame of reference is translated
- Frame of reference is rotated
- Vector is rotated
Q. The magnitude of scalar product of two vectors is 8 and that of vector product is 8√3. The angle between them is
- 60∘
- 30∘
- 120∘
- 150∘
Q. The vector sum of the forces of 10 N and 6 N can be
- 2 N
- 8 N
- 18 N
- 20 N
Q. A block is dragged on smooth plane with the help of a rope which moves with velocity v. The horizontal velocity of the block is :
- v
- vsinθ
- vcosθ
- vsinθ
Q. If the two directional cosines of a vectors are 1√2 and 1√3 then the value of third directional cosines is
- 1√6
- 1√5
- 1√7
- 1√10
Q. Which one of the following sets of horizontal forces can keep a body in equilibrium ?
- 12 N, 24 N, and 48 N
- 50 N, 75 N and 150N
- 35 N, 35N, and 35N
- All of the above.
Q. Assertion(A): A vector is not changed if it is slid parallel to itself
Reason(R): Two parallel vectors of same magnitude are said to be equal vectors
Reason(R): Two parallel vectors of same magnitude are said to be equal vectors
- A is false, but R is true
- A is true, but R is false
- Both A and R are true, but R is not correct explanation of A
- Both A and R are true and R is correct explanation of A
Q. Of the vectors given below, the parallel vectors are
→A=6^i+8^j →B=210^i+280^k
→C=5.1^i+6.8^j →D=3.6^i+8^j+48^k
→A=6^i+8^j →B=210^i+280^k
→C=5.1^i+6.8^j →D=3.6^i+8^j+48^k
- →A and →B
- →A and →C
- →C and →D
- →A and →D
