Home
Class 12
MATHS
The conditions under which the vector ve...

The conditions under which the vector `vec P + vec Q and vec P - vec Q` will be at right angles to each other is

Promotional Banner

Topper's Solved these Questions

  • Product of two Vectors

    A DAS GUPTA|Exercise Exercise|48 Videos

  • Product of three or more Vectors

    A DAS GUPTA|Exercise Exercise|28 Videos

  • Progression, Related Inequalities and Series

    A DAS GUPTA|Exercise Exercise|235 Videos

Similar Questions

Explore conceptually related problems

Two vectors vec P and vec Q

Two vectors vec(A)and vec(B) are at right angles to each other then

What is the anlge between vec P xx vec Q and vec Q xx vec P is

If vec r=3vec p+4vec q and 2vec r=vec p-3vec q then

If vec p xxvec q=vec r and vec p*vec q=c, then vec q is

The lengths of the diagonals of a parallelogram constructed on the vectors vec p=2vec a+vec b and vec q=vec a-2vec b where vec a&vec b are unit vectors forming an angle of 60^(@) are:

If vec P+ vec Q = vec R and |vec P| = |vec Q| = | vec R| , then angle between vec P and vec Q is

For three vectors vec p,vec q and vec r if vec r=3vec p+4vec q and 2vec r=vec p-3vec q then

What can be the angle between (vec(P) + vec(Q)) and (vec(P) - vec(Q)) ?

The resultant of two vectors vec(P) and vec(Q) is vec(R) . If vec(Q) is doubled then the new resultant vector is perpendicular to vec(P) . Then magnitude of vec(R) is :-

A DAS GUPTA-Product of two Vectors-Exercise
  1. Let beta = 4hati + 3hatj and vec gamma be two vectors perpendicular to...

    Text Solution

    |

  2. If |vec a|=3,|vec b|=5,|vec c|=7 and vec a+vec b+vec c=0 then angle be...

    Text Solution

    |

  3. The conditions under which the vector vec P + vec Q and vec P - vec Q ...

    Text Solution

    |

  4. Let vec O A- vec a , hat O B=10 vec a+2 vec ba n d vec O C= vec b ,w ...

    Text Solution

    |

  5. Vector vec O A= hat i+2 hat j+2 hat k turns through a right angle ...

    Text Solution

    |

  6. A vector a has components a1,a2,a3 in a right handed rectangular cart...

    Text Solution

    |

  7. If vec a * vec b = vec a * vec c then

    Text Solution

    |

  8. If vec(A)+vec(B)+vec(C )=0 then vec(A)xx vec(B) is

    Text Solution

    |

  9. If vec a xx vec b= vec b xx vec c != vec 0 then which one is true wh...

    Text Solution

    |

  10. A, B, C and D are four points in a plane with position vectors vec a,v...

    Text Solution

    |

  11. If |vec a|= |vec b|= 1 and |vec a xx vec b|=1 then

    Text Solution

    |

  12. The vector vecb = 3j + 4k is to be written as the sum of a vector vecb...

    Text Solution

    |

  13. Let veca=2hati-hatj+hatk , vecb= hati+2hatj-hatk and vec c= hati+hatj-...

    Text Solution

    |

  14. If vec a+ vec b+ vec c=0 and | vec a|=3,\ | vec b|=5 and | vec c|=7 ...

    Text Solution

    |

  15. If vec(a). vec(b) = 0 and vec(a) xx vec(b) = vec(0) then which one of ...

    Text Solution

    |

  16. If vec a=4 hat i+6 hat ja n d vec b=3 hat j+4 hat k , then find the c...

    Text Solution

    |

  17. In each of the following, fill in the blank so that the resulting stat...

    Text Solution

    |

  18. If vec(A) xx vec(B) = vec(B) xx vec(A), then the angle between A to B ...

    Text Solution

    |

  19. Find a unit vector vec cif- vec i+ vec j- vec kb i s e c t st h ea ng...

    Text Solution

    |

  20. If theta is the angle between the unit vectors hat a and hat b then co...

    Text Solution

    |