Home
Class 12
MATHS
(vec r . i) (vec r xx i) +(vec r .j) (ve...

`(vec r . i) (vec r xx i) +(vec r .j) (vec r xx j)+ (vec r . k)(vec r xx k)= `

A

`2 vec r`

B

`vec r`

C

`4 vec r`

D

`vec 0`

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

For any vector vec r , the value of i xx (vec r xx i) + j xx (vec r xx j) + k xx (vec r xx k) =

If vec a, vec b and vec c are non coplanar then vec a . { (vec b xx vec c)/(3vec b . (vec c xx vec a))}- vec b . {(vec c xx veca)/(2vecc. (veca xx vec b))} =

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

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) =

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

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

For any vector vec a , ('vec a' . i) i + (vec a . j)j + (vec a . k)k =

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

For any vector vec a , the value of (vec a xx i)^(2) + (vec a xx j)^(2) + (vec a xx k)^(2) =

HIMALAYA PUBLICATION-VECTORS AND THEIR APPLICATIONS-QUESTION BANK
  1. If vec a and vec b are vectors such that |vec a + vec b| = |vec a - ve...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  6. If vec a, vec b, vec c are three vectors such that vec a + vec b + vec...

    Text Solution

    |

  7. Projection vectors vec a on vec b is

    Text Solution

    |

  8. The vectors lambda i + j +2k, i + lambda j - k, 2i-j+ lambda k are cop...

    Text Solution

    |

  9. If |vec a| = 10, |vec b| = 2 and vec a . vec b = 12 then the value of ...

    Text Solution

    |

  10. For any vector vec a, the value of (vec a xx i)^(2) + (vec a xx j)^(2)...

    Text Solution

    |

  11. The vectors from origin to the point A and B are, vec a = 2i-3j+2k, ve...

    Text Solution

    |

  12. The value of lambda for which the vectors 3i-6j+k and 2i-4j+lambda k a...

    Text Solution

    |

  13. Find the value of lambda such that the vectorsvec a = 2i + lambda j+ k...

    Text Solution

    |

  14. The angle between two vectors vec a and vec b with magnitudes sqrt3 an...

    Text Solution

    |

  15. The vector having initial and terminal points as (2,5,0) and (-3,7,4) ...

    Text Solution

    |

  16. The position vector of the point which divides the join of points 2 ve...

    Text Solution

    |

  17. The vector in the direction of the vector i-2j+2k that has magnitude 9...

    Text Solution

    |

  18. If |vec a| =3 and -1 le k le 2, then |k vec a| lies in the interval

    Text Solution

    |

  19. The unit vector perpendicular to the vectors hati - hatj and hati + ha...

    Text Solution

    |

  20. If vec a and vec b are unit vectors, then angle between vec a and vec...

    Text Solution

    |