Home
Class 12
MATHS
If the points P(vec a + 2 vec b + vec c)...

If the points `P(vec a + 2 vec b + vec c), Q (2 vec a + 3 vec b), R(vec b + t vec c)` are collinear, where `vec a, vec b, vec c` are three non-coplanar vectors, the value of t is

A

1)-2

B

2)1/2

C

3)4

D

4)2

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|194 Videos

Similar Questions

Explore conceptually related problems

The vectors vec a + vec b + vec c, 2 vec a+ vec b + 3 vec c and vec a + 2 vec b + 3 vec c , where vec a, vec b , and vec c are non coplanar vectors , are

vec a .[(vec b + vec c) xx (vec a + vec b + vec c)] =

[vec a + vec b vec b + vec c vec c + vec a] =

(vec b xx vec c) xx (vec c xx vec a ) =

If vec a + 2 vec b + 3 vec c = vec 0 , then (vec a xx vec b)+ (vec b xx vec c) + (vec c xx vec a) =

Suppose vec a + vec b + vec c = 0, |vec a| = 3, |vec b| = 5, |vec c| = 7 , then the angle between vec a and vec b is

If vec a xx vec b = vec c and vec b xx vec c = vec a then

If vec a = i + 2j, vec b = j +2k, vec c = i+2k then vec a . (vec b xx vec c) =

The value of [vec a - vec b, vec b - vec c , vec c - vec a] where |vec a| = 1, |vec b| =5, |vec c| =3 is

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. For any vector vec r, the value of i xx (vec r xx i) + j xx (vec r xx...

    Text Solution

    |

  2. Let the unit vectors vec a and vec b be perpendicular to each other an...

    Text Solution

    |

  3. If the points P(vec a + 2 vec b + vec c), Q (2 vec a + 3 vec b), R(vec...

    Text Solution

    |

  4. If vec a, vec b, vec c are three mutually perpendicular vectors of equ...

    Text Solution

    |

  5. If vec a xx vec b = vec c and vec b xx vec c = vec a then

    Text Solution

    |

  6. If the vectors vec r(1) = ai+j+k, vec r(2) = i + bj + k, vec r(3) = i ...

    Text Solution

    |

  7. A unit vector in the xy plane that makes an angle of 45^(o) with the v...

    Text Solution

    |

  8. If vec a and vec b are two unit vectors, then the vector (vec a + vec ...

    Text Solution

    |

  9. If vec alpha = 2 hati + 3 hatj - hatk, vec beta =- hati + 2 hatj - 4 h...

    Text Solution

    |

  10. If vec a xx vec b = vec c and vec b xx vec c = vec a then

    Text Solution

    |

  11. If vec a, vec b, vec c are linearly independent vectors and Delta = |(...

    Text Solution

    |

  12. If pi(1) and pi(2) be two planes determined by the pairs of vectors ve...

    Text Solution

    |

  13. If vec a xx vec b = vec c and vec b xx vec c = vec a then

    Text Solution

    |

  14. For any vector vec r, (vec r . i)^(2) + (vec r .j)^(2) + (vec r . k )^...

    Text Solution

    |

  15. If |vec a - vec b| = |vec a| = |vec b| =1 then the angle between vec a...

    Text Solution

    |

  16. If |vec a| = 3, |vec b| = 5, and |vec c| = 4 and vec a + vec b + vec c...

    Text Solution

    |

  17. Let vec a, vec b and vec c be three vectors. Then scalar triple produc...

    Text Solution

    |

  18. If vec u, vec nu, vec w are three non-coplanar vectors, then (vec u + ...

    Text Solution

    |

  19. A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b...

    Text Solution

    |

  20. A vector coplanar with vector i+j and j+k and parallel to the vector 2...

    Text Solution

    |