Home
Class 12
MATHS
If vec(a) and vec(b), are two collinear ...

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.

Text Solution

Verified by Experts

The correct Answer is:
Alternates (B), ( C ) and (D) are incorrect.
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.3|18 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.4|12 Videos
  • VECTOR ALGEBRA

    KUMAR PRAKASHAN|Exercise EXERCISE-10.1|5 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Given that vec(a).vec(b)=0 and vec(a)xx vec(b)=0 . What can you conclude about the vectors vec(a) and vec(b) ?

vec(a) and vec(b) are any two vectors. Prove that |vec(a)+vec(b)|le|vec(a)|+|vec(b)|

If vec(a) and vec(b) are non-collinear vectors find the value of x for which vectors vec(alpha)=(x-2)vec(a)+vec(b) and vec(beta)=(3+2x)vec(a)-2vec(b) are collinear.

If vec a , vec b are any two vectors, then give the geometrical interpretation of g relation | vec a+ vec b|=| vec a- vec b|

Let vec(a) and vec(b) be two unit vectors and theta is the angle between them. Then vec(a)+vec(b) is a unit vector if ……….

If vec(a).vec(a)=0 and vec(a).vec(b)=0 then what can be concluded about the vector vec(b) ?

If |vec(a)xx vec(b)|=vec(a).vec(b) then find the angle between vec(a) and vec(b) .

The two vectors vec(A) and vec(B) are drawn from a common point and vec(C)=vec(A)+vec(B) then angle between vec(A) and vec(B) is

KUMAR PRAKASHAN-VECTOR ALGEBRA -EXERCISE-10.2
  1. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

    Text Solution

    |

  2. Compute the magnitude of the following vectors : veca=hati+hatj+k,...

    Text Solution

    |

  3. Write two different vectors having same magnitude.

    Text Solution

    |

  4. Write two different vectors having same direction.

    Text Solution

    |

  5. Find the values of x and y so that the vectors 2hati+3hatjandxhati+yh...

    Text Solution

    |

  6. Find the scalar and vector components of the vector with initial poi...

    Text Solution

    |

  7. Find the sum of the vectors veca=hati-2hatj+hatk,vecb=-2hati+4hatj+5h...

    Text Solution

    |

  8. Find the unit vector in the direction of the vector veca=hati+hatj+2h...

    Text Solution

    |

  9. Find the unit vector in the direction of vector vec(PQ) , where P and ...

    Text Solution

    |

  10. For given vectors veca=2hati-hatj+2hatkandvecb=-hati+hatj-hatk, find t...

    Text Solution

    |

  11. Find a vector in the direction of vector 5hati-hatj+2hatk which has ma...

    Text Solution

    |

  12. Show that the vectors 2hati-3hatj+4hatkand-4hati+6hatj-8hatk are coll...

    Text Solution

    |

  13. Find the direction cosines of the vector hati+2hatj+3hatk.

    Text Solution

    |

  14. Find the direction cosines of the vector joining the points A(1,2,-3)...

    Text Solution

    |

  15. Show that the vector hati+hatj+hatk is equally inclined to the axes OX...

    Text Solution

    |

  16. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  17. Find the position vector of the mid point of the vector joining the p...

    Text Solution

    |

  18. Show that the points A, B and C with position vectors, vec(a)=3hati-4h...

    Text Solution

    |

  19. If triangle ABC (Fig 10.18), which of the following is not true : (A...

    Text Solution

    |

  20. If vec(a) and vec(b), are two collinear vectors, then which of the fol...

    Text Solution

    |