Home
Class 11
PHYSICS
State with reasons, whether the followin...

State with reasons, whether the following algebraic operations with scalars and vectors are meaningful. (a) Adding any scalar. (b) multiplying any tow scalars (c ) Adding any two vectors (d) Adding a component of a vector to the same vector.

Text Solution

Verified by Experts

The correct Answer is:
Only (iii) and (iv) are permissible
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exersice-4[B]|14 Videos

  • MISCELLANEOUS

    ALLEN |Exercise EXERCISE-5(A)|15 Videos

  • MISCELLANEOUS

    ALLEN |Exercise DATA SUFFICIENCY QUESTIONS|3 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

Define the scalar product of two vectors .

Is pressure a scalar or a vector ? Give reason.

Obtain scalar product in terms of Cartesian component of vectors .

Whether the work energy theorem is a scalar or a vector ?

Explain the geometrical interpretation of scalar product of two vectors .

Obtain the commutative law of scalar product for two vectors .

State whether the following statements are true or false :- (1) Magnitude of vecP can be -5 unit. (2) |hatN|=1 (3) Magnitude of any vector is a scalar. (4) Unit vectors of a vector cannot be 1

Read each statement below carefully and state with reasons , if it is true of false : (a) The magnitude of a vector is always a scalar , (b) each component of a vector is always a scalar , (c ) the total path length is always equal to the magnitude of the displacement vector of a particle . (d) the average speed of a either greater or equal to the magnitude of average velocity of the particle over the same interval of time , (e ) Three vectors not lying in a plane can never add up to give a null vector .

Find the scalar and vector components of the vector with initial point (2,1) and terminal point (-5,7).

ALLEN -MISCELLANEOUS-Exercise-04 [A]
  1. The position vector of car w.r.t. its starting point is given as vecr=...

    Text Solution

    |

  2. Answer the following : (i) A vector has magnitude & direction. Does ...

    Text Solution

    |

  3. A room has dimensions 3 m xx 4 m xx5 m. A fly starting at one cronet e...

    Text Solution

    |

  4. Vector vec(a) has components a(x)=3, a(y)=4. Find the components of a ...

    Text Solution

    |

  5. Find: (i) "north cross west" " " (ii) "down dot south" (iii) "we...

    Text Solution

    |

  6. The position vector of a particle of mass m= 6kg is given as vec(r)=[(...

    Text Solution

    |

  7. A plane body has perpendicular axes OX and OY marked on it and is acte...

    Text Solution

    |

  8. State with reasons, whether the following algebraic operations with sc...

    Text Solution

    |

  9. A car travels due east on a level road for 30 km. It then turns due no...

    Text Solution

    |

  10. Write the vector representation of the vectors A and B with respect to...

    Text Solution

    |

  11. Find the kinetic energy of a particle of mass 200 g moving with veloci...

    Text Solution

    |

  12. Acceleration of particle moving in straight line can be written as a=(...

    Text Solution

    |

  13. The position vector of an object moving in X-Z plane is vec(r)=v(0)tha...

    Text Solution

    |

  14. The position of a particle at time t is given by the relation x(t)=((V...

    Text Solution

    |

  15. The related equations are : Q=mc(T(2)-T(1)), l(1)=l(0)[1+alpha(T(2)-T(...

    Text Solution

    |

  16. A particle of mass m is in a uni-directional potential field where the...

    Text Solution

    |

  17. Assume that the largest stone of mass 'm' that can be moved by a flowi...

    Text Solution

    |

  18. A projectile fired at an angle of 45^(@) travels a total distance R, c...

    Text Solution

    |

  19. In the formula P=(nRT)/(V-b)e^(-a/(RTV)). Find the dimensions of a and...

    Text Solution

    |

  20. If instead of mass, length and time as fundamental quantities we choos...

    Text Solution

    |