Home
Class 12
MATHS
If vec(alpha) and vec (beta) are perpen...

If `vec(alpha) and vec (beta) ` are perpendicular to each other , show that
` | vec(alpha) + vec(beta)|^(2) = |vec(alpha)-vec(beta)|^(2)`

Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2A ( Long answer type questions)|16 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2B ( Short answer type questions)|20 Videos

  • PRODUCTS OF TWO VECTORS

    CHHAYA PUBLICATION|Exercise Exercise 2A (Very Short aanswer type questions)|35 Videos

  • PROBABILITY

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMS|18 Videos

  • PROPERTIES OF TRIANGLE

    CHHAYA PUBLICATION|Exercise Assertion- Reason Type:|2 Videos

Similar Questions

Explore conceptually related problems

If vec(alpha) and vec (beta) are perpendicular to each other , show that |vec(alpha)+vec(beta)|^(2) = | vec(a)|^(2) + |vec(beta)|^(2)

For any two vectors vec(a) and vec(b) , show that | vec (a).vec(b)| le |vec(a)||vec(b)|

If vec(a) , vec (b) and vec (c ) are three mutually perpendicular vectors of equal magnitude , show that , vectors vec (a) , vec (b) , vec (c ) make an equal angle with vec(a) + vec (b) + vec (c )

If vec(a) and vec(b) are two vector such that |vec(a)| = 2, |vec(b)| =3 and vec(a).vec(b) =4 , then find the value of |vec(a)- vec(b)|

Prove that , ( vec(a) xx vec(b))^(2) + (vec (a).vec(b))^(2) = |veca|^(2) |vec(b)|^(2)

Show that the vector vec(a) is perpendicular to the vector vec(b) - (vec(a).vec(b))/(|vec(a)|^(2))vec(a)

Let vec aa n d vec b be unit vectors that are perpendicular to each other. Then [ vec a+( vec axx vec b) vec b+( vec axx vec b) vec axx vec b] will always be equal to 1 b. 0 c. -1 d. none of these

If vec a , vec b , vec c are mutually perpendicular unit vectors, find |2 vec a+ vec b+ vec c|dot

Prove that , (vec(a) - vec(b)) xx (vec(a) + vec(b)) = 2 ( vec(a) xx vec(b))

CHHAYA PUBLICATION-PRODUCTS OF TWO VECTORS-Exercise 2A ( Short answer type questions)
  1. If vec(a) = hat(i) - hat(j) + 2hat(k) , vec(b) = hat(i) +hat(j) +hat(k...

    Text Solution

    |

  2. If vec(alpha) and vec (beta) are perpendicular to each other , show t...

    Text Solution

    |

  3. If vec(alpha) and vec (beta) are perpendicular to each other , show t...

    Text Solution

    |

  4. A(p,1,-1), B (2p,0,2) and C(2+2p,p,p) are three points . Find the valu...

    Text Solution

    |

  5. If vec(a) = hat(i) + 2 hat(j) - 3 hat (k) and vec(beta) = 3 hat(i) - h...

    Text Solution

    |

  6. Show that the vector vec(a) is perpendicular to the vector vec(b) - (...

    Text Solution

    |

  7. For any two vectors vec(a) and vec(b) , show that | vec (a).vec(b)| l...

    Text Solution

    |

  8. If vec(a),vec(b),vec (c ) are non - coplanar vectors vec (r) . vec(a...

    Text Solution

    |

  9. For the vector vec(a) and vec (b) if |vec(a) + vec(b)|= |vec(a) - vec...

    Text Solution

    |

  10. Prove that (vec(a)+vec(b)).(vec(a)+vec(b)) = |vec(a)|^(2) + |vec(b)|^(...

    Text Solution

    |

  11. If hat (i),hat (j) and hat (k) are unit vectors along three mutuaaly ...

    Text Solution

    |

  12. If hat (i),hat (j) and hat (k) are unit vectors along three mutuaaly ...

    Text Solution

    |

  13. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  14. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  15. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  16. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  17. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  18. Let vec (a) = 2 hat (i) - 2 hat (j) + hat (k) , vec (b) = hat (j) - h...

    Text Solution

    |

  19. In each of the following find a unit a vector perpendicular to both v...

    Text Solution

    |

  20. In each of the following find a unit a vector perpendicular to both v...

    Text Solution

    |