Home
Class 11
PHYSICS
Define (i) unit vector (ii) null vector ...

Define (i) unit vector (ii) null vector (iii) cross product of two vectors `vec A` and `vec B` .

Promotional Banner

Topper's Solved these Questions

  • Motion in a Plane

    SL ARORA|Exercise Example|111 Videos

  • MECHANICS

    SL ARORA|Exercise Exercise|341 Videos

  • MOTION IN ONE DIMENSION

    SL ARORA|Exercise problems for self practice|66 Videos

Similar Questions

Explore conceptually related problems

Show that the scalar product of two vectors vec A and vec B is commutative.

Assertion: The cross product of a vector with itself is a null vector. Reason: The cross-product of two vectors results in a vector quantity.

The unit vector along vec(i)+vec(j) is :-

If vec a=hat i+hat j and vec b=4hat i-hat j find a unit vector in the direction of the vector (2vec a-vec b); also find vector and scalar components of (2vec a-vec b) along two coordinate axes.

Find vec a unit vector perpendicular to each of the vectors vec a=3i+2j-3k and vec b=i+j-k

For given vector,vec a=2hat ij+2hat k and vec b=-hat i+hat j-hat k, find the unit vector in the direction of the vector vec a+vec b .

If vec a=hat i+hat j and vec b=4hat i-hat j ,find a unit vector in the direction of the vector (2vec a-vec b)

The vector product of two vectors vec A and vec B is zero. The scalar product of vec A and (vec A + vec B) will be

vec a and vec b are two given unit vectors at right angle.The unit vector equally inclined with vec a,vec b and vec a xxvec b will be

SL ARORA-Motion in a Plane-Excercise
  1. If |vec A + vec B|= |vec A|+|vec B|, then what is the angle between ve...

    Text Solution

    |

  2. Distinguish between position and displacement vectors.

    Text Solution

    |

  3. Define (i) unit vector (ii) null vector (iii) cross product of two vec...

    Text Solution

    |

  4. State and prove the commutative property of vector addition.

    Text Solution

    |

  5. Give one example of dot product of vectors. Also give its unit

    Text Solution

    |

  6. Find the work done in moving a particle along a vector vec S= (4 hat i...

    Text Solution

    |

  7. The angle between vectors A and B is 60^circ. What is the ratio of vec...

    Text Solution

    |

  8. Obtain an expression for the area of a triangle in terms of the cross ...

    Text Solution

    |

  9. A projectile is fired with a velocity 'u' making an angle theta with t...

    Text Solution

    |

  10. A projectile is projected with velocity u making angle theta with hori...

    Text Solution

    |

  11. A projectile is projected with velocity u making angle theta with hori...

    Text Solution

    |

  12. Show that there are two angles of projection for which the horizontal ...

    Text Solution

    |

  13. The angle of projection at which the horizontal range and maximum heig...

    Text Solution

    |

  14. A projectile is fired at an angle theta with the horizontal with veloc...

    Text Solution

    |

  15. Galileo, in his book Two new sciences, stated that "for elevations whi...

    Text Solution

    |

  16. Show that the horizontalrange is same for a projectile whether theta i...

    Text Solution

    |

  17. Prove that the maximum horizontal range is four times the maximum heig...

    Text Solution

    |

  18. Uniform circular motion is an acceleration motion. Comment.

    Text Solution

    |

  19. Derive the relation between linear displacement and angular displaceme...

    Text Solution

    |

  20. Establish a relation between linear velocity and angular velocity in a...

    Text Solution

    |