Home
Class 12
MATHS
If veca=5hati-hatj-3hatk and vecb=hati+3...

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

Promotional Banner

Topper's Solved these Questions

  • VECTORS

    MODERN PUBLICATION|Exercise Exercise|500 Videos

  • UNIT TEST-4

    MODERN PUBLICATION|Exercise EXERCISE|13 Videos

Similar Questions

Explore conceptually related problems

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

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

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

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

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

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

If veca=hati-hatj+3hatk and vecb=2hati+3hatj-5hatk then find vecaxxvecb . Verify that veca and vecaxxvecb are perpendicular to each other.

If veca=3hati-hatj+2hatk and vecb=-hati-2hatj+4hatk , find a unit vector along the vector (veca+vecb) .

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.

MODERN PUBLICATION-VECTORS-Exercise
  1. Find lambda when the scalar projection of veca=lambdahati+hatj+4hatk o...

    Text Solution

    |

  2. Show that each of the given three vectors are mutually perpendicular u...

    Text Solution

    |

  3. If veca=5hati-hatj-3hatk and vecb=hati+3hatj-5hatk, then show that the...

    Text Solution

    |

  4. Write the value of 'p' for which veca=3hati+2hatj+9hatk vecb=hati+phat...

    Text Solution

    |

  5. Find the value of 'lambda' such that the vectors veca and vecb are per...

    Text Solution

    |

  6. Find the value of 'lambda' such that the vectors veca and vecb are per...

    Text Solution

    |

  7. If 2hati+hatj-3hatk and mhati+3hatj-hatk are perpendicular to each oth...

    Text Solution

    |

  8. Show that the projection of vecb on veca ne vec0 is : ((veca*vecb)/(|v...

    Text Solution

    |

  9. Show that |veca|vecb + |vecb|veca is perpendicular to |veca|vecb-|vec...

    Text Solution

    |

  10. Find a unit vector perpendicular to each of the vector veca+vecb and v...

    Text Solution

    |

  11. If veca=2hati+2hatj+3hatk,vecb=-hati+2hatj+hatk and vecc=3hati+hatj ar...

    Text Solution

    |

  12. If veca=hati-hatj+7hatk and vecb=5hati-hatj+lambdahatk, then find the ...

    Text Solution

    |

  13. If vecp=5hati+lambdahatj-3hatk and vecq=hati+3hatj-5hatk, then find th...

    Text Solution

    |

  14. If veca=5hati-hatj+7hatk and vecb=hati-hatj-lambdahatk, then find the ...

    Text Solution

    |

  15. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  16. Find the scalar product of the following pairs of vectors and the angl...

    Text Solution

    |

  17. Show that the points : A(2hati-hatj+hatk),B(hati-3hatj-hatk),C(3hati-4...

    Text Solution

    |

  18. The position vectors of the vertices of /\ABC are : 3hati-4hatj-4hatk,...

    Text Solution

    |

  19. Show that the points with position vectors veca=3hati-4hatj-4hatk,vecb...

    Text Solution

    |

  20. If veca+vecb+vecc=vec0, |veca|=3,|vecb|=5 and |vecc|=7, find the angle...

    Text Solution

    |