Home
Class 12
MATHS
If vec a, vec b, vec c are non coplanar ...

If `vec a, vec b, vec c` are non coplanar vectors such that, `vec b xx vec c = vec a, vec c xx vec a = vec b, vec a xx vec b = vec c`, then |vec a + vec b + vec c| = `

A

1

B

2

C

3

D

`sqrt3`

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

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

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

If vec a, vec b, vec c non zero coplanar vectors, then, [2 vec a - vec b 3 vec b - vec c 4 vec c - vec a] =

If vec a, vec b and vec c are non coplanar unit vectors such that vec a xx (vec b xx vec c) = (vec b + vec c)/sqrt2 , then

If any vector vec a xx (vec b xx vec c) + vec b xx (vec c xx vec a) + vec c xx (vec a xx vec b) =

If vec a, vec b , and vec c are vectors such that |vec b| = |vec c| , then {[(vec a + vec b) xx (vec a + vec c)] xx (vec b xx vec c)} . (vec b + vec c) =

If vec a, vec b, vec c are three vectors such that vec a . (vec b + vec c) + vec b . (vec c + vec a) + vec c . (vec a + vec b) = 0 and |vec a| = 1, |vec b | = 4, |vec c| = 8 , then |vec a + vec b + vec c| =

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

If |vec a| =5, |vec b| =6, vec a . vec b = 24 then |vec a xx vec b| =

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a and vec b are mutually perpendicular unit vectors, then (3 ve...

    Text Solution

    |

  2. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

    Text Solution

    |

  3. If vec a, vec b, vec c are non coplanar vectors such that, vec b xx ve...

    Text Solution

    |

  4. If |vec a| = 2, |vec b| = 5 and |vec a xx vec b| = 8 then vec a . vec ...

    Text Solution

    |

  5. Let vec(a) = hat(i) - 2hat(j) +3hat(k) . If vec(b) is a vector such ...

    Text Solution

    |

  6. If vec a = 2i-3j and vec b = 2i+3k then, (vec a + vec b). (vec a - vec...

    Text Solution

    |

  7. If vec a, vec b, vec c are unit vectors such that vec a + vec b + vec ...

    Text Solution

    |

  8. If |vec a| =4 , |vec b | = 2 and angle between vec a and vec b is pi/6...

    Text Solution

    |

  9. If vec a, vec b, vec c are non coplanar vectors such that, vec b xx ve...

    Text Solution

    |

  10. If vec a, vec b, vec c are three vectors such that vec a . (vec b + ve...

    Text Solution

    |

  11. Two adjacent sides of a parallelogram ABCD are 2i+4j-5k and i+2j+3k th...

    Text Solution

    |

  12. If vec a = i+j+k, vec a. vec b = 1 and vec a xx vec b = j-k then vec b...

    Text Solution

    |

  13. If vec a = i-j+k and vec b = 2i+j-k then |2 vec a - vec b|=

    Text Solution

    |

  14. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  15. If f(x) is a ploynomial function satisfying f(x) . f(1/x) = f(x) + f(1...

    Text Solution

    |

  16. If vec a and vec b are vectors such that |vec a + vec b| = |vec a - ve...

    Text Solution

    |

  17. If vec a, vec b and vec c are non coplanar unit vectors such that vec ...

    Text Solution

    |

  18. (vec r . i) (vec r xx i) +(vec r .j) (vec r xx j)+ (vec r . k)(vec r x...

    Text Solution

    |

  19. The number of vectors of unit length perpendicular to the vectors vec ...

    Text Solution

    |

  20. If |vec a| = 4 and -3 le lambda le 2, then the range of |lambda vec a|...

    Text Solution

    |