Home
Class 12
MATHS
Let veca= 2 hati + 3hatj - 6hatk, vecb =...

Let `veca= 2 hati + 3hatj - 6hatk, vecb = 2hati - 3hatj + 6hatk and vecc = -2 hati + 3hatj + 6hatk`. Let `veca_(1)` be the projection of `veca on vecb and veca_(2)` be the projection of `veca_(1) on vecc` . Then
`veca_(1).vecb` is equal to

A

`-41`

B

`-41//7`

C

41

D

287

Text Solution

Verified by Experts

The correct Answer is:
a
`veca_(1).vecb= (-41)/49 (2hati - 3hatj + 6hatk) . (2hati - 3hatj + 6hatk) =-41`
Promotional Banner

Topper's Solved these Questions

  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE|Exercise Exercise|337 Videos

  • DETERMINANTS

    CENGAGE|Exercise All Questions|268 Videos

  • DIFFERENTIAL EQUATIONS

    CENGAGE|Exercise Question Bank|7 Videos
CENGAGE-DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS -Exercise
  1. Given two orthogonal vectors vecA and VecB each of length unity. Let v...

    Text Solution

    |

  2. Find the derivative of y=cos 2x^6.

    Text Solution

    |

  3. Let veca= 2 hati + 3hatj - 6hatk, vecb = 2hati - 3hatj + 6hatk and vec...

    Text Solution

    |

  4. Find the derivative of y=2sin 3x+5 cos 3x^4.

    Text Solution

    |

  5. Consider a triangular pyramid ABCD the position vectors of whose angla...

    Text Solution

    |

  6. Consider a triangular pyramid ABCD the position vectors of whone agula...

    Text Solution

    |

  7. Consider a triangular pyramid ABCD the position vectors of whose angla...

    Text Solution

    |

  8. Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-...

    Text Solution

    |

  9. Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-...

    Text Solution

    |

  10. Vertices of a parallelogram taken in order are A, ( 2,-1,4) , B (1,0,-...

    Text Solution

    |

  11. Let vec(r) is a positive vector of a variable pont in cartesian OXY pl...

    Text Solution

    |

  12. Let vec(r) is a positive vector of a variable pont in cartesian OXY pl...

    Text Solution

    |

  13. Let vec(r) is a positive vector of a variable pont in cartesian OXY pl...

    Text Solution

    |

  14. Ab, AC and AD are three adjacent edges of a parallelpiped. The diagona...

    Text Solution

    |

  15. Ab, AC and AD are three adjacent edges of a parallelpiped. The diagona...

    Text Solution

    |

  16. Ab, AC and AD are three adjacent edges of a parallelpiped. The diagona...

    Text Solution

    |

  17. Find the derivative of y=2sin3x .

    Text Solution

    |

  18. Find the derivative of y = ln 2x

    Text Solution

    |

  19. Differentiate y = cos (3x^2 + 2).

    Text Solution

    |

  20. Let vecp and vecq any two othogonal vectors of equal magnitude 4 each....

    Text Solution

    |