Home
Class 12
MATHS
If veca=i-j+k and vecb=2i-2j-k. What is ...

If `veca=i-j+k` and `vecb=2i-2j-k`. What is the projection of `veca` on `vecb`?

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    MAXIMUM PUBLICATION|Exercise EXAMPLE|136 Videos

Similar Questions

Explore conceptually related problems

Consider the vectors veca=2i+j+3k,vecb=i+4j-k .Find the projection of veca on vecb .

Consider the vectors veca=hati+2hatj-3hatk and vecb=4hati-hatj-2hatk . Find the projections of veca on vecb and vecb on veca .

Let veca=2hati-4hatj+5hatk and vecb=hati-2hatj-8hatk be two vectors Find the projection of veca on vecb .

Let veca=hati+2hatj-3hatk and vecb=lamdahatj+3hatk . If the projection of veca on vecb is equal to the projection of vecb on veca , then the values of lamda are

Consider the vectors veca=2i+j+3k,vecb=i+4j-k Write a vector vecd such that the projection of veca on vecb

Let veca=2i-j+2k and vecb=6i+2j+3k .Find a unit vector in the direction of veca+vecb .

Let veca=2i-j+2k and vecb=6i+2j+3k Find the angle between veca and vecb .

If veca=5i-j-3k and vecb=i+3j+5k ,then show that the vectors veca+vecb , veca-vecb are perpendicular.

The angle between veca and vecb is (5pi)/(6) and the projection of veca in the direction of vecb is ( -6)/(sqrt3), then |veca| is equal to : a)6 b) (sqrt3)/(2) c) 12 d)4

If veca=3i+j+2k , If veca makes an angle 60° with a vector vecc , find the projection of veca on vecc .

MAXIMUM PUBLICATION-VECTOR ALGEBRA-EXAMPLE
  1. Consider the following quadrilateral ABCD in which P,Q,R,S are the mid...

    Text Solution

    |

  2. With help of a suitable figure for any three vectors veca,vecb and vec...

    Text Solution

    |

  3. If veca=i-j+k and vecb=2i-2j-k. What is the projection of veca on vecb...

    Text Solution

    |

  4. If veca=3i-j-5k and vecb=i-5j+3k Show that veca+vecb and veca-vecb are...

    Text Solution

    |

  5. Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i...

    Text Solution

    |

  6. Given the position vectors of three points as A(i-j+k),B(4i+5j+7k)C(3i...

    Text Solution

    |

  7. Write the unit vector in direction of i+2j-3k.

    Text Solution

    |

  8. If vec(PQ)=3i+2j-k and the coordinate of P are (1,-1,2), find the coor...

    Text Solution

    |

  9. The angle between the vectors veca and vecb such that absveca=absvecb=...

    Text Solution

    |

  10. Find the unit vector along veca-vecb where veca=i+3j-k and vecb=3i+2j+...

    Text Solution

    |

  11. Consider the vectors veca=2i+j-2k and vecb=6i-3j+2k.Find veca.vecb and...

    Text Solution

    |

  12. Consider the vectors veca=2i+j-2k and vecb=6i-3j+2k.Verify that abs(ve...

    Text Solution

    |

  13. For any three vectors veca,vecb,vecc, show that vecatimes(vecb+vecc)+v...

    Text Solution

    |

  14. Given A(1,1,1),B(1,2,3),C(2,3,1) are the vertices of triangleABC a tri...

    Text Solution

    |

  15. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find t...

    Text Solution

    |

  16. Consider A(2,3,4),B(4,3,2) and C(5,2,-1) be any three points. Find the...

    Text Solution

    |

  17. Find the angle between the vectors veca=3i+4j+k and vecb=2i+3j-k.

    Text Solution

    |

  18. The adjacent sides of a parallelogram are veca=3i+lambdaj+4k and vecb=...

    Text Solution

    |

  19. The adjacent sides of a parallelogram are veca=3i+lambdaj+4k and vecb=...

    Text Solution

    |

  20. Let veca=2i-j+2k and vecb=6i+2j+3k.Find a unit vector in the direction...

    Text Solution

    |