Vectors
Trending Questions
Q. Part of commentary by a commentator of a race is given. What can you infer about it? "The racing car takes a circular turn at a constant velocity of 84 km per hour. "
- Commentary is right, car can turn at constant velocity.
- Commentary is wrong, velocity does not remain constant while turning.
- Such high speed is not possible.
- None of the above.
Q. The sum of the magnitudes of two forces is 18 N and the magnitude of their resultant is 12 N. If the resultant makes an angle of 90∘ with the smaller force, then find the magnitude of the forces.
- 5 N, 13 N
- 6 N, 12 N
- 10 N, 8 N
- None of these
Q. The sum of the magnitudes of two forces is 18 N and the magnitude of their resultant is 12 N. If the resultant makes an angle of 90∘ with the smaller force, then find the magnitude of the forces.
- 5 N, 13 N
- 6 N, 12 N
- 10 N, 8 N
- None of these
Q. Let →a=^i+^j+^k, →b=^i−^j+^k and →c=^i−^j−^k be three vectors. A vector →v in the plane of →a and →b, whose projection on →c is 1√3, is given by
- ^i−3^j+3^k
- −3^i−3^j−^k
- 3^i−^j+3^k
- ^i+3^j−3^k
Q. Let →a=^i+^j+^k, →b=^i−^j+^k and →c=^i−^j−^k be three vectors. A vector →v in the plane of →a and →b, whose projection on →c is 1√3, is given by
- ^i−3^j+3^k
- −3^i−3^j−^k
- 3^i−^j+3^k
- ^i+3^j−3^k
Q. Magnitude of resultant of 3 vectors −−→OA, −−→OB, and −−→OC as shown below is
- r
- 2r
- r(1+√2)
- r(√2−1)