Home
Class 12
MATHS
If veca =xhati+2hatj-zhatk, vecb=3hati-y...

If `veca =xhati+2hatj-zhatk, vecb=3hati-yhatj+2hatk` are two equal vectors, then write the value of x + y + z.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    SHARAM PUBLICATION|Exercise EXAMPLE|96 Videos

Similar Questions

Explore conceptually related problems

If veca = hati+2hatj-hatk , vecb = hati+hatj+2hatk , vecc = 2hati-hatj then

If veca = hati+2hatj+hatk , vecb = 2hati- 2hatj + 2hatk and vecc = hati + 2hatj + hatk then

If veca=hati+2hatj-3hatkand vecb=3hati-hatj+2hatk ,then find the angle between veca+vecb and veca-vecb.

If veca = 3hati+3hatj+hatk and vecb = -2hati+hatj-2hatk then what is the unit vector parallel to veca+vecb

If the vectors veca = 2hati + 3hatj +-6hatk and vecb = alphahati-hatj +2hatk are parallel, then alpha = ______

If veca = 3hati+hatj-2hatk, vecb = 2hati-3hatj+4hatk then verify that vecaxxvecb is perpendicular to both veca and vecb .

The diagonals of a parallelogram are given by veca =2hati - 3hatj + 5hatk and vecb = -2hati + 2hatj + 2hatk , Determine the area of the parallelogram .

SHARAM PUBLICATION-VECTORS-EXAMPLE
  1. Find the unit vector in the direction of the sum of the vectors veca=2...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  20. If veca+vecb+vecc = vec0, |veca| = 3 , |vecb| = 5 and |vecc| = 7, find...

    Text Solution

    |