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

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

Text Solution

Verified by Experts

The correct Answer is:
`-2(2vec(i) + 5vec(j) + 11vec(k))`
Promotional Banner

Topper's Solved these Questions

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Additional Exercise|12 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-I|22 Videos

  • VECTOR (CROSS) PRODUCT OF TWO VECTORS

    AAKASH SERIES|Exercise Exercise-3.1 (very Short Answer Questions)|16 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)= 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)= 2vec(i)-vec(j) +vec(k), vec(b)= 3vec(i) + 4vec(j) -vec(k) , then |vec(a) xx vec(b)|=

vec(a)= 2vec(i) + vec(j) -vec(k), vec(b)= -vec(i) + 2vec(j)- 4vec(k) and vec(c )= vec(i) + vec(j) + vec(k) , then find (vec(a) xx vec(b)).(vec(b) xx vec(c )) .

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

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) + 3vec(j)- 5vec(k), vec(b)= m vec(i) + n vec(j) + 12 vec(k) and vec(a) xx vec(b) = vec(0) then (m, n)=

If vec(a)= -vec(i) + vec(j) + vec(k), vec(b)= vec(i)-vec(j) + vec(k), vec(c )= vec(i) + vec(j)-vec(k) , then the vectors vec(a) xx vec(b), vec(b) xx vec(c ), vec(c ) xx vec(a) are

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

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) + 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)

AAKASH SERIES-VECTOR (CROSS) PRODUCT OF TWO VECTORS-Exercise-3.1 ( Short Answer Questions)
  1. If vec(a)= 2vec(i)-3 vec(j) + vec(k). vec(b)= vec(i) + 4vec(j)- 2vec(k...

    Text Solution

    |

  2. Find the unit vectors perpendicular to both the vectors 2vec(i)- 3vec(...

    Text Solution

    |

  3. Find unit vector perpendicular to both bar(i) + bar(j) + bar(k) and 2b...

    Text Solution

    |

  4. Find a vector of magnitude and perpendicular to both the vectors vec(a...

    Text Solution

    |

  5. Find a vector of length sqrt6 and perpendicular to both vec(a)= 2vec(i...

    Text Solution

    |

  6. Find the unit vector perpendicular to the plane passing through the po...

    Text Solution

    |

  7. Find a unit vector perpendicular to the plane determined by the points...

    Text Solution

    |

  8. Let bar(a)= bar(i) + 2bar(j) + 3bar(k), bar(b)= - bar(i) + 2bar(j) + 3...

    Text Solution

    |

  9. If vec(a)= 4vec(i) + 5vec(j)- vec(k), vec(b)= vec(i)- 4vec(j) + 5vec(k...

    Text Solution

    |

  10. If bar(a), bar(b), bar(c ) respresents the vertices A, B, and C respe...

    Text Solution

    |

  11. If vec(a) = 2vec(i) + 3vec(j) + 4vec(k), vec(b)= vec(i) + vec(j)- vec(...

    Text Solution

    |

  12. If vec(a) = 7vec(i) -2vec(j) + 3vec(k), vec(b)= 2vec(i) + 8vec(k), vec...

    Text Solution

    |

  13. vec(a)= 2vec(i) + vec(j) -vec(k), vec(b)= -vec(i) + 2vec(j)- 4vec(k) a...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  16. If vec(a)= vec(i) + vec(j)+ vec(k), vec(c )= vec(j)- vec(k), then find...

    Text Solution

    |

  17. If vec(a).vec(b) = vec(a).vec(c ) and vec(a) xx vec(b)= vec(a) xx vec(...

    Text Solution

    |

  18. If bar(a) xx bar(b) = bar(b) xx bar(c ) != 0, then show that bar(a) + ...

    Text Solution

    |

  19. If the vectors vec(a), vec(b), vec(c ) form the sides vec(BC), vec(CA)...

    Text Solution

    |

  20. If vec(a) xx vec(b) = vec(c ) xx vec(d) and vec(a) xx vec(c )= vec(b) ...

    Text Solution

    |