Home
Class 11
MATHS
If bara, barb, barc, bard are any four v...

If `bara, barb, barc, bard` are any four vectors then `(baraxx barb) xx (barc xx bard)` is a vector

A

`bot` to `bara,barb,barc,bard`

B

equally inclined to `baraxxbarb` and `barcxxbard`

C

along the line of intersection of two planes, one containing `bara, barb` and the other containing `barc, bard`

D

2 and 3

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISE|62 Videos
  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE-I|40 Videos
  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos
  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

If bara,barb,barc,bard are unit co-planar vectors then abs((baraxxbarb)xx(barcxxbard)) =

If bara, barb, barc, bard, bare are co-planar vectors then {(baraxxbarb)xx(barcxxbard)}xxbare =

If bara, barb, barc are any three vectors then (baraxxbarb)xxbarc is a vector

If bara,barb,barc,bard are four vectors, then show that (baraxxbarb).(barcxxbard)+(barbxxbarc).(baraxxd)+(barcxxbara).(barbxxbard)=0

Let the vectors bara, barb, barc, bard be such that (bara xx barb) xx (barc xx bard) = bar0 . Let pi_(1), pi_(2) be planes determined by the pairs of vectors bara, barb and barc, bard respectively, then angle betwen pi_(1) and pi_(2) is

Given that barc is in the plane of bara, barb and bard is not iri the plane of bara, barb then (baraxx barb) xx (barc xx bard) =

If barb, barc are like unit vectors and baraxx (barbxx barc) = bar0 then

If bara,barb,barc are any three vectors such that (bara+ barb) . barc = (bara - barb) . barc = 0 then (baraxx barb)xxbarc =

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE -II
  1. [barb barc bard]bara-[bara barc bard]barb+[bara barb bard]barc-[bara b...

    Text Solution

    |

  2. (baraxxbari).(barjxxbark)+(baraxxbarj).(barkxxbari)+(baraxxbark).(bari...

    Text Solution

    |

  3. If bara, barb, barc, bard are any four vectors then (baraxx barb) xx (...

    Text Solution

    |

  4. If bara,barb,barc are coplanar vectors then (baraxxbarb)xx(barbxxbarc)...

    Text Solution

    |

  5. If bara, barb, barc are any three vectors such that baraxxbarb=barc, b...

    Text Solution

    |

  6. If bara,barb, barc are vectors such that [barabarbbarc]=4 then [baraxx...

    Text Solution

    |

  7. Assertion (A) : Vector component of barb per pendicular to bara is (ba...

    Text Solution

    |

  8. Let the vectors bara, barb, barc, bard be such that (bara xx barb) xx ...

    Text Solution

    |

  9. The point of intersction of barr xx bara= barbxx bara and barr xx bar...

    Text Solution

    |

  10. If the lines barr=bara+lamda(barbxxbarc) and barr=barb+mu(barcxxbara) ...

    Text Solution

    |

  11. The distance of the point (1, 1, 1) from the plane passing through the...

    Text Solution

    |

  12. Find the equation of the plane passing through the point A=(2,3,-1),B=...

    Text Solution

    |

  13. Equation of the plane passing through the point A (3, -2, -1) and para...

    Text Solution

    |

  14. Vector equation of the plane passing through the line barr =bara+ alph...

    Text Solution

    |

  15. The vectors equation of the plane which is per-pendicular to 2bari -3b...

    Text Solution

    |

  16. The position vectors of the three non-collinear points A, B, C, are ba...

    Text Solution

    |

  17. The distance between the line barr=2bari-2barj+3bark+lamda(bari-barj...

    Text Solution

    |

  18. The perpendicular distance from origin to the plane passing through th...

    Text Solution

    |

  19. The shortest distance between the lines whose equations are barr = t...

    Text Solution

    |

  20. The shortest distance between the lines through the points (2, 3, 1), ...

    Text Solution

    |