Home
Class 12
MATHS
If veca=5hati-hatj+7hatk and vecb=hati-h...

If `veca=5hati-hatj+7hatk and vecb=hati-hatj+lambdahatk`. Find `lambda` such that `veca+vecb and veca-vecb` are orthogonal.

Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Passage Based Type Questions|3 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise JEE Type Solved Examples: Match Type Questions|4 Videos

  • PROBABILITY

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|55 Videos

  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos

Similar Questions

Explore conceptually related problems

If veca=hati-hatj+7hatk and vecb=5hati-hatj+lambdahatk , then find the value of 'lambda' , so that veca+vecb and veca-vecb are perpendicular vectors.

If veca=3hati-hatj+2hatk and vecb=hati-3hatk then veca.vecb is

If veca=5hati-hatj-3hatkandvecb=hati+3hatj-5hatk then show that the vectors veca+vecb and veca-vecb are orthongal (perpendicular).

If veca=5hati-hatj+7hatk and vecb=hati-hatj-lambdahatk , then find the value of 'lambda' for which (veca+vecb) and (veca-vecb) are orthognal.

If veca=2hati+hatj+4hatk and vecb=3hati-2hatj+hatk then veca.vecb=

If veca=hati+hatj+hatk and vecb=hatj-hatk , find a vector vecc such that vecaxxvecc=vecb and veca*vecc=3 .

If veca=hati-hatj+hatk and vecb=5hati-hatj+2hatk , then veca*vecb is :

If veca=2hati+hatj+7hatk and vecb=5hati-3hatj+10hatk , then veca*vecb is :

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If veca=5hati-hatj+7hatk and vecb=hati-hatj+lambdahatk. Find lambda su...

    Text Solution

    |

  2. Let O be the origin and let PQR be an arbitrary triangle. The point S ...

    Text Solution

    |

  3. Let O be the origin and vec(OX) , vec(OY) , vec(OZ) be three unit vec...

    Text Solution

    |

  4. Let O be the origin, and O X , O Y , O Z be three unit vectors ...

    Text Solution

    |

  5. Let a, b and c be three unit vectors such that atimes(btimesc)=(sqrt(3...

    Text Solution

    |

  6. Let vec a , vec b and vec c be three non-zero vectors such that no ...

    Text Solution

    |

  7. If vec a , vec ba n d vec c are unit vectors satisfying | vec a- v...

    Text Solution

    |

  8. The vector(s) which is/are coplanar with vectors hat i+ hat j+2 hat...

    Text Solution

    |

  9. Let vec a= hat i+ hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec ...

    Text Solution

    |

  10. Two adjacent sides of a parallelogram A B C D are given by vec A B=...

    Text Solution

    |

  11. Let P,Q R and S be the points on the plane with position vectors -2hat...

    Text Solution

    |

  12. If aa n db are vectors in space given by vec a=( hat i-2 hat j)/(sq...

    Text Solution

    |

  13. If veca,vecb,vecc and vecd are unit vectors such that (vecaxxvecb)*(...

    Text Solution

    |

  14. The edges of a parallelopiped are of unit length and are parallel to ...

    Text Solution

    |

  15. Let two non-collinear unit vectors veca and vecb form an acute angle. ...

    Text Solution

    |

  16. Let the vectors PQ,OR,RS,ST,TU and UP represent the sides of a regular...

    Text Solution

    |

  17. The number of distinct real values of lambda , for which the vectors...

    Text Solution

    |

  18. If veca, vecb, vecc are unit vectors such that veca+vecb+vecc=0, find...

    Text Solution

    |

  19. Let A be vector parallel to line of intersection of planes P1 and P2. ...

    Text Solution

    |

  20. Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec...

    Text Solution

    |

  21. Find the 7th term of GP if the first term is 7 and common ratio is 2.

    Text Solution

    |