Home
Class 11
MATHS
If vec(a)= 2vec(i) + vec(j)-3vec(k), vec...

If `vec(a)= 2vec(i) + vec(j)-3vec(k), vec(b)=vec(i) -2vec(j) + vec(k)`, then a vector of length and perpendicular to both `vec(a) and vec(b)` is

A

`+- (5)/(sqrt3) (vec(i) + vec(j) + vec(k))`

B

`+- (vec(i) + vec(j) + vec(k))`

C

`+- (vec(i)-vec(j) + vec(k))`

D

`+- (3)/(sqrt5) (vec(i) + vec(j) + vec(k))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-II|47 Videos

  • TRIGONOMETRIC RATIOS

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL - II) (PRACTICE SHEET (ADVANCED) SIGNLE ANSWER TYPE QUESTIONS)|23 Videos

Similar Questions

Explore conceptually related problems

If vec(a)= 2vec(i)-vec(j) +vec(k), vec(b)= 3vec(i) + 4vec(j) -vec(k) , then |vec(a) xx vec(b)|=

Given vec(a) = vec(i) + vec(j)-vec(k), vec(b)= - vec(i) + 2vec(j) + vec(k) and vec(c )= -vec(i) + 2vec(j) -vec(k) . A unit vector perpendicular to both vec(a) + vec(b) and vec(b) + vec(c ) is

If vec(a)= vec(i) + vec(j) + vec(k), vec(b)= -vec(i) + 2vec(j) + vec(k), vec(c )= vec(i) + 2vec(j) -vec(k) then a unit vector perpendicular to vec(a) + vec(b) and vec(b) + vec(c ) is

If vec(a)= 4vec(i) + 5vec(j)- vec(k), vec(b)= vec(i)- 4vec(j) + 5vec(k) and vec(c )= 3vec(i) + vec(j)- vec(k) , the find vector vec(alpha) which is perpendicular to both vec(a), vec(b) and vec(alpha).vec(c )= 21

If vec(a) = vec(i) + 2vec(j) - 3vec(k), vec(b)= 2vec(i) + vec(j) - vec(k) and vec(u) is a vector satisfying vec(a) xx vec(u) = vec(a) xx vec(b) and vec(a).vec(u)= 0 , then 2|vec(u)|^(2) =

If vec(a)= 2vec(i) -vec(j) + 3vec(k), vec(b)= p vec(i) + vec(j) + q vec(k) and vec(b) xx vec(a) = vec(0) , then

If vec(a)= 2vec(i) + 5vec(j) + vec(k) and vec(b)=4vec(i) + mvec(j) + n vec(k) are collinear vectors, then find the m and n

If vec(a) = 2vec(i) + 3vec(j) + 4vec(k), vec(b)= vec(i) + vec(j)- vec(k), vec(c )= vec(i) - vec(j) + vec(k) then verify that vec(a) xx (vec(b) xx vec(c )) is perpendicular to vec(a)

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

If vec(a)= vec(i) + vec(j)+ vec(k), vec(c )= vec(j)- vec(k) , then find vector vec(b) such that vec(a) xx vec(b)= vec(c ) and vec(a).vec(b)= 3

AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Practice Exercise
  1. Number of vectors of unit length perpendicular to the vectors vec(a)= ...

    Text Solution

    |

  2. The unit vector perpendicular to vectors vec(i)-vec(j) and vec(i) + ve...

    Text Solution

    |

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

    Text Solution

    |

  4. Let vec(a) + m vec(b) + n vec(c )= vec(0).vec(a) xx vec(b) + vec(b) xx...

    Text Solution

    |

  5. If |vec(a)| = |vec(b)|=2, then (vec(a) xx vec(b))^(2) + (vec(a).vec(b)...

    Text Solution

    |

  6. Which of the following statements are true. Statement-I: (vec(r ).ve...

    Text Solution

    |

  7. If r. a = r.b = r.c = 0 where a,b,c are noncoplannar, then

    Text Solution

    |

  8. A vector vec( c) perpendicular to the vectors 2vec(i) + 3vec(j)-vec(k)...

    Text Solution

    |

  9. The vectors vec(a) and vec(b) are not perpendicular and vec(c ) and ve...

    Text Solution

    |

  10. If three vectors vec(a), vec(b), vec(c ) are such that vec(a) ne vec(0...

    Text Solution

    |

  11. Assertion (A): The area of the triangle with vertices (1,2,3), (2, 5, ...

    Text Solution

    |

  12. The area of the parallelogram is 4sqrt29 sq.u. If one of adjacent side...

    Text Solution

    |

  13. ABCD is a quadrilateral with vec(AB)= vec(a), vec(AD)= vec(b) and vec(...

    Text Solution

    |

  14. The perpendicular distance from A(1, 4, -2) to BC, where B= (2, 1, -2)...

    Text Solution

    |

  15. If vec(AB)= vec(b) and vec(AC)= vec( c), then the length of the perpen...

    Text Solution

    |

  16. The torque about the point 2i + j - K of a force represented by 4i + k...

    Text Solution

    |

  17. Assertion (A): The torque about the point 3vec(i)-vec(j) + 3vec(k) of ...

    Text Solution

    |

  18. If vec(a) xx vec(b)= vec(c ) xx vec(d), vec(a) xx vec(c )= vec(b) xx v...

    Text Solution

    |

  19. (2 vec(i) + 4vec(j) + 2vec(k)) xx (2vec(i) -p vec(j) + 5vec(k))=16 vec...

    Text Solution

    |

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

    Text Solution

    |