Cross Product
Trending Questions
Q.
A small bar magnet placed with its axis at with an external field of experiences a torque of . The minimum work required to rotate it from its stable to unstable equilibrium position is:
Q. Show that the area of the triangle contained between the vectors a and b is one half of the magnitude of a × b.
Q. A particle has the position vector →r=^i−2^j+^k and the linear momentum →p=2^i−^j+^k. Then, its angular momentum about the origin is
- −^i+^j−3^k
- −^i+^j+3^k
- ^i+^j+3^k
- ^i−^j−5^k
Q.
The angle between the vectors →A and →B is θ. Find the value of the triple product →A.(→B × →A).
0
Q. A particle has the position vector →r=^i−2^j+^k and the linear momentum →p=2^i−^j+^k. Then, its angular momentum about the origin is
- −^i+^j−3^k
- −^i+^j+3^k
- ^i+^j+3^k
- ^i−^j−5^k
Q.
Calculate the area of the parallelogram when adjacent sides are given by the vectors →A = ^i + 2^j + 3^k and →B = 2^i − 3^j + ^k
195 sq unit
3√195sq unit
0
√195sq unit
Q. A particle of mass 2 kg is moving with a uniform speed of 10 m/s in x−y plane along the line x=6 m. Find the magnitude of the angular momentum of the particle about the origin.
- 0 kg-m2/sec
- 60 kg-m2/sec
- 120 kg-m2/sec
- 20 kg-m2/sec
Q. A particle has an angular momentum →L and a linear momentum →P about a reference point O. If →r is the position vector of particle with respect to reference point, then identify correct option.
- →L=→P×→r
- |→L×→P|=LP
- →L×→P=0
- None of these