Home
Class 11
PHYSICS
If vec(a) is a vector and x is a non-zer...

If `vec(a) is a vector and x is a non-zero scalar, then

A

x `vec(a)` is a vector in the direction of `vec(a)`

B

x `vec(a)` is a vector collinear to `vec(a)`

C

x `vec(a)` and `vec(a)` have independent directions

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
A, B
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-03|1 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exercise-04|1 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Exersice -05(B)|20 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

If vec a\ is a non zero vector of modulus vec a\ a n d\ m is a non zero scalar such that m a is a unit vector, write the value of mdot

If a,b and c are three non-zero vectors such that no two of these are collinear. If the vector a+2b is collinear with c and b+3c is collinear with a( lamda being some non-zero scalar), then a+2b+6c is equal to

If veca is a nonzero vector of mangitude 'a' and lambda a nonzero scalar , then lambdaveca is unit vector if

If vec An d vec B are two vectors and k any scalar quantity greater than zero, then prove that | vec A+ vec B|^2lt=(1+k)| vec A|^2+(1+1/k)| vec B|^2dot

If veca and vecb are two non- zero collinear vectors then …… is correct .

If vec(a) and vec(b) , are two collinear vectors, then which of the following are incorrect : (A) vec(b)=lambda vec(a) , for some scalar lambda (B) vec(a)=+-vec(b) ( C ) the respective components of vec(a) and vec(b) are not proportional (D) both the vectors vec(a) and vec(b) have same direction, but different magnitudes.

If vec(x),vec(y) and vec(z) are non coplanar then prove that vec(x)+vec(y),vec(y)+vec(z) and vec(z)+vec(x) are non coplanar.

Given three vectors veca, vecb and vecc are non-zero and non-coplanar vectors. Then which of the following are coplanar.

If vec(a) is a unit vector and (vec(x)-vec(a)).(vec(x)+vec(a))=8 then find |vec(x)| .

ALLEN -MISCELLANEOUS-Exercise-02
  1. If the sum of two unit vectors is a unit vector,then find the magnitud...

    Text Solution

    |

  2. X- component of vec(a) is twice of its Y- component. If the magnitude ...

    Text Solution

    |

  3. If vec(a) is a vector and x is a non-zero scalar, then

    Text Solution

    |

  4. The two vectors vec(A) and vec(B) are drawn from a common point and ve...

    Text Solution

    |

  5. Which of the following expressions are meaningful?

    Text Solution

    |

  6. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

    Text Solution

    |

  7. Following forces start acting on a particle at rest at the origin of t...

    Text Solution

    |

  8. Which of the following group have the same dimensions.

    Text Solution

    |

  9. The line of action of a force vec(F)=(-3hat(i)+hat(j)+5hat(k)) N passe...

    Text Solution

    |

  10. A particle moves so that its position vector is given by vec r = cos o...

    Text Solution

    |

  11. The magnitude of scalar product of two vectors is 8 and of vector prod...

    Text Solution

    |

  12. Force acting on a particale is (2hat(i)+3hat(j))N. Work done by this f...

    Text Solution

    |

  13. Equation of line BA is x+y=1. Find a unit vector along the reflected r...

    Text Solution

    |

  14. The vector (vec(a)+3vec(b)) is perpendicular to (7 vec(a)-5vec(b)) and...

    Text Solution

    |

  15. Forces proportional to AB,BC and 2CA act along the sides of triangle A...

    Text Solution

    |

  16. A charges cork of mass m suspended by a light stright is placed in uni...

    Text Solution

    |

  17. A charged particle having some mass is resting in equilibrium at a hei...

    Text Solution

    |

  18. The charge per unit length of the four quadrant of the ring is 2 lambd...

    Text Solution

    |

  19. The figure shows a nonconducting ring which has positive and negative ...

    Text Solution

    |

  20. A circular ring carries a uniformly distributed positive charge .The e...

    Text Solution

    |