Home
Class 12
MATHS
Write a unitvector in the direction of t...

Write a unitvector in the direction of the sum of vectors `veca=2hati-hatj-2hatk` and `vecb=-hati+hatj+3hatk`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

Find the unit vector in the direction of the sum of the vectors veca=2hati+2hatj-5hatk and vecb=2hati+2hatj-7hatk

Find the unit vector parallel to the sum of the vectors veca = 2hati+4hatj-5hatk and vecb = hati+2hatj+3hatk. Also find its direction cosines.

Find the direction cosine of vector vecA=3hatj+2hatj+hatk .

Find the unit vector in the direction of veca-vecb where veca= 4hati + 4hatj+hatk and vecb= 3hati-11hatk .

Find the scalar projection of the vector veca = 3hati+6hatj + 9hatk on vecb = 2hati+2hatj - hatk .

Write a vector in the direction of the vector hati-2hatj+3hatk that has magnitude 9 units.

Find the vector projection of veca=hati-hatj+hatk on vecb=3hati+hatj+3hatk.

Write the scalar projection of the vector veca = 2hati -hatj + hatk on the vector vecb = hati + 2hatj + 2hatk .

Find the scalar and vector projection of veca on vecb . veca = hati-hatj-hatk , vecb = 3hati+hatj+3hatk .

SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. Find a vector in the direction of vector 2hati-3hatj+6hatk which has m...

    Text Solution

    |

  2. Find the unit vector in the direction of the sum of the vectors veca=2...

    Text Solution

    |

  3. Write a unitvector in the direction of the sum of vectors veca=2hati-h...

    Text Solution

    |

  4. If veca =xhati+2hatj-zhatk, vecb=3hati-yhatj+2hatk are two equal vecto...

    Text Solution

    |

  5. If hata.hatb=1/2then what is the angle between hata and hatb?

    Text Solution

    |

  6. Write the value of the cosine of the angle which the vector veca =hati...

    Text Solution

    |

  7. Write a vector in the direction of the vector hati-2hatj+3hatk that ha...

    Text Solution

    |

  8. Find the value of ‘a’ such that the vector 6hati+2hatj-3hatk is perpen...

    Text Solution

    |

  9. What is the unit vector perpendicular to the vectors hati- hatj and 2h...

    Text Solution

    |

  10. What is the magnitude of 2veca xx 3veca ?

    Text Solution

    |

  11. If (vec a times vec b)^2 + (vec a cdot vec b)^2=144, write the value o...

    Text Solution

    |

  12. Write a vector normal to hati+hatk and hati+hatj.

    Text Solution

    |

  13. What is the angle between hati+ hatj and hati-hatj ?

    Text Solution

    |

  14. If veca and vecb are unit vectors such that vecaxxvecb is a unit vecto...

    Text Solution

    |

  15. If two vectors oversetrarra and oversetrarrb are such that |oversetrar...

    Text Solution

    |

  16. What is the direction of (hati+hatj+hatk)+(hati+hatk-3hatj)+ (hatk+hat...

    Text Solution

    |

  17. What is the projection of hat i + hat j - hat k upon the vector hat i ...

    Text Solution

    |

  18. Prove that [vecaxxvecbvecbxxveccveccxxveca] = [vecavecbvecc]^2

    Text Solution

    |

  19. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) = 4hat(i) - 2hat(j) + 3h...

    Text Solution

    |

  20. Show that [veca+vecbvecb+veccvecc+veca] = 2[vecavecbvecc]

    Text Solution

    |