Home
Class 12
MATHS
Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=...

Consider `veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j`. Show that `veca+vecb` and `veca-vecb` are orthogonal.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSTIONAL GEOMETRY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j . Find veca+vecb and veca*vecb .

If veca=3i-j-5k and vecb=i-5j+3k Show that veca+vecb and veca-vecb are perpendicular.

If veca=5i-j-3k and vecb=i+3j+5k ,then show that the vectors veca+vecb , veca-vecb are perpendicular.

Consider the vectors veca=2i+j-2k and vecb=6i-3j+2k .Find veca.vecb and vecatimesvecb .

If veca=3hati+2hatj+2hatk,vecb=hati+2hatj-2hatk Find veca+vecb and veca-vecb

If veca=i-2j+3k , vecb=2i+3j-4k and vecc=i-3j+5k ,then check whether veca , vecb , vecc are coplanar.

Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k . Find veca.vecb .

Consider the vectors veca=i-7j+7k,vecb=3i-2j+2k .Find the angle between veca and vecb .

Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

Consider the vectors veca=2i+j+3k,vecb=i+4j-k .Find the projection of veca on vecb .

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

    Text Solution

    |

  2. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k," " overset...

    Text Solution

    |

  3. Consider veca=i+2j-3k,vecb=3i-j+2k,vecc=11i+2j. Show that veca+vecb an...

    Text Solution

    |

  4. Consider oversetrarra=overset^^i+2overset^^j-3overset^^k,oversetrarrb=...

    Text Solution

    |

  5. Consider the vectors " " oversetrarra=2overset^^i-3overset^^j+overse...

    Text Solution

    |

  6. Consider the vectors " "oversetrarra=2overset^^i-3overset^^j+overset...

    Text Solution

    |

  7. Consider the vectorsoversetrarra=2overset^^i-3overset^^j+overset^^k" ...

    Text Solution

    |

  8. Suppose oversetrarra =a1overset^^i+a2overset^^j+a3overset^^k " ".Find...

    Text Solution

    |

  9. Given that A,B,C are the points(2,1,-1),(3,2,-1)and(3,1,0).Find overse...

    Text Solution

    |

  10. Find the angle between two vectorsoversetrarra"and"oversetrarrb with m...

    Text Solution

    |

  11. Find the angle between the vectors overset^^i-2overset^^j+3overset^^k"...

    Text Solution

    |

  12. Find the projection of the vector 'hati-hatj' on the vector 'hati+hatj...

    Text Solution

    |

  13. Find the projection of a vector i+3j+7k on the vector 7i-j+8k.

    Text Solution

    |

  14. Show that each of the given three vectors is a unit vector :1/7(2overs...

    Text Solution

    |

  15. Find |oversetrarra|"and" |oversetrarrb| if (oversetrarra+oversetrarrb...

    Text Solution

    |

  16. Evaluate the product '(3 veca-5 vecb) .(2 veca+7 vecb)'

    Text Solution

    |

  17. Find the magnitude of two vectors oversetrarra"and"oversetrarrb, havin...

    Text Solution

    |

  18. Find '|vecx|', if for a unit vector 'veca,(vecx-veca) .(vecx+veca)=12'

    Text Solution

    |

  19. If" " oversetrarra=2overset^^i+2overset^^j+3overset^^k," " oversetrarr...

    Text Solution

    |

  20. Show that""|oversetrarra|oversetrarrb +|oversetrarrb| oversetrarra"" i...

    Text Solution

    |