Home
Class 12
MATHS
For any two vectors -> aand -> bwe alw...

For any two vectors ` -> a`and ` -> b`we always have `| -> adot -> b|lt=| -> a|| -> b|`(Cauchy-Schwartz inequality).

Promotional Banner

Topper's Solved these Questions

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|52 Videos

  • PRODUCT OF VECTORS

    ARIHANT MATHS|Exercise Exercise (Single Integer Answer Type Questions)|16 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

For any two vectors vec a and vec b, we always have |vec a+ vec b|<=|vec a|+|vec b|

For any two sets A and B, B' - A' = ?

For any two matrices A and B , we have

For any two vectors vec a and vec b prove that | vec a + vec b | <= | vec a | + | vec b |

For any two vectors vec a and vec b write when |vec a+vec b|=|vec a-vec b| holds.

For any two vectors vec a and vec b write then |vec a+vec b|=|vec a|+|vec b| holds.

For any two vectors vec a, vec b | vec a * vec b | <= | vec a || vec b |

For any two non-zero vectors a and b, |a|b+|b|a and |a|b-|b|a are

ARIHANT MATHS-PRODUCT OF VECTORS-Exercise (Subjective Type Questions)
  1. For any two vectors -> aand -> bwe always have | -> adot -> b|lt=| ...

    Text Solution

    |

  2. P and Q are two points on the curve y = 2^(x+2) in the rectangular car...

    Text Solution

    |

  3. O is the origin and A is a fixed point on the circle of radius 'a' wit...

    Text Solution

    |

  4. If a is real constant A ,Ba n dC are variable angles and sqrt(a^2-4)ta...

    Text Solution

    |

  5. Given , the edges A, B and C of triangle ABC. Find cosangleBAM, where ...

    Text Solution

    |

  6. Distance of point A (1, 4, -2) is the distance from BC, where B and C ...

    Text Solution

    |

  7. Given, the angles A, B and C of triangleABC. Let M be the mid-point of...

    Text Solution

    |

  8. In A B C , a point P is taken on A B such that A P//B P=1//3 and poin...

    Text Solution

    |

  9. If one diagonal of a quadrilateral bisects the other, then it also bis...

    Text Solution

    |

  10. Two forces F(1)={2, 3} and F(2)={4, 1} are specified relative to a gen...

    Text Solution

    |

  11. A non zero vector veca is parallel to the line of intersection of the ...

    Text Solution

    |

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

    Text Solution

    |

  13. Let vec ua n d vec v be unit vectors such that vec uxx vec v+ vec u=...

    Text Solution

    |

  14. A, B and C are three vectors given by 2hat(i)+hat(k), hat(i)+hat(j)+ha...

    Text Solution

    |

  15. If x*a=0, x*b=1, [x a b]=1 and a*b ne 0, then find x in terms of a and...

    Text Solution

    |

  16. Let hat(x), hat(y) and hat(z) be unit vectors such that hat(x)+hat(y)+...

    Text Solution

    |

  17. Let p, q, r be three mutually perpendicular vectors of the same magnit...

    Text Solution

    |

  18. Given vectors barCB=bara, barCA=barb and barCO=barx where O is the cen...

    Text Solution

    |