Home
Class 12
MATHS
The projection of veca=2hati-hatj+hatk o...

The projection of `veca=2hati-hatj+hatk` on `vecb=hati-2hatj+hatk` is equal to:

A

`(5sqrt(6))/(3)`

B

`(5)/(sqrt(6))`

C

`(6)/(sqrt(14))`

D

`(sqrt(6))/(5)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    BETTER CHOICE PUBLICATION|Exercise ASSIGNMENT MOST IMPORTANT QUESTIONS FOR PRACTICE (SECTION VII)|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    BETTER CHOICE PUBLICATION|Exercise PREVIOUS YEARS BOARD.S QUESTION FOR PRACTICE |60 Videos

Similar Questions

Explore conceptually related problems

The projection of veca=2hati-2hatj-hatk on vecb=3hati-hatj+2hatk is equal to:

The projection of veca=2hati+3hatj+2hatk on vecb=hati+2hatj+hatk is equal to:

The projection of vector veca=2hati-hatj+hatk along vecb=hati+2hatj+2hatk is

Find the scalar projection of : veca=3hati-2hatj+hatk on vecb=hati-2hatj-3hatk .

Find the scalar projection of : veca=2hati-hatj-3hatk on vecb=3hati-5hatj+hatk .

The projection of vectors veca=2hati+3hatj+2hatk on vacb=hati+2hatj+hatk is :

Find the scalar projection of : veca=2hati+3hatj+2hatk on vecb=hati+2hatj+hatk .

If veca=2hati-hatj+hatk and vecb=2hatj-hatk then veca.vecb is equal to :

Find the scalar projection of : veca=7hati+3hatj+6hatk on vecb=5hati-2hatj+3hatk .

Find the scalar projection of : veca=hati+3hatj+7hatk on vecb=7hati-hatj+8hatk .

BETTER CHOICE PUBLICATION-VECTOR ALGEBRA -PREVIOUS YEARS BOARD.S QUESTIONS FOR PRACTICE (MCQ)
  1. The area of the triangle having vertices : A (1, 1, 2), B (2, 3, 5) an...

    Text Solution

    |

  2. Area of a rectangle having vertices A, B, C and D with position vector...

    Text Solution

    |

  3. The projection of veca=2hati-hatj+hatk on vecb=hati-2hatj+hatk is equa...

    Text Solution

    |

  4. Find the projection of hati-hatj on the line represented by the vector...

    Text Solution

    |

  5. For given vectors,veca=2hati-hatj+2hatk and vecb=-hati+hatj-hatk , fin...

    Text Solution

    |

  6. Using vectors, prove that cos(alpha-beta)=cosalpha cosbeta+sinalphas...

    Text Solution

    |

  7. With the help of vector method, prove that,cosA=(b^2+c^2-a^2)/(2bc)

    Text Solution

    |

  8. Prove that, in any triangle ABC, cos B=(c^2+a^2-b^2)/(2ca).

    Text Solution

    |

  9. Find vecaxxvecb, if veca=2hati+hatj+3hatk and vecb=3hati+5hatj-2hatk

    Text Solution

    |

  10. Find |vecaxxvecb|, if veca=3hati+4hatjand vecb=hati-hatj+hatk

    Text Solution

    |

  11. Find the unit vector perpendicular to the vector veca=-hati-2hatj+3h...

    Text Solution

    |

  12. Find the unit vector perpendicular to the vector veca=4hati-3hatj-ha...

    Text Solution

    |

  13. Using vector, prove that sin(A+B)=sinAcosB+cosAsinB

    Text Solution

    |

  14. Find the area of a parallelogram whose adjacent sides are : 3hati-4h...

    Text Solution

    |

  15. Find the area of a parallelogram whose adjacent sides are : 3hati+ha...

    Text Solution

    |

  16. Find the area of parallelogram whose adjacent sides are given by vecto...

    Text Solution

    |

  17. If veca+vecb+vecc=vec0, show that vecaxxvecb=veccxxveca. Interpret the...

    Text Solution

    |

  18. veca=hati-2hatj+3hatk and vecb=2hati+3hatj-5hatk find vecaxxvecb and v...

    Text Solution

    |

  19. Find the angle between two vectors veca and vecb with magnitudes sqrt3...

    Text Solution

    |

  20. The magnitude of the vector 2hati-6hatj-3hatk is :

    Text Solution

    |