Home
Class 12
MATHS
Find a unit vector perpendicular to each...

Find a unit vector perpendicular to each of the vector `veca+vecb`, and `veca-vecb`, where `veca=3 hati+2 hatj+2 hatk` and `vecb=hati+2 hatj-2 hatk`

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSIONAL GEOMETRY

    V PUBLICATION|Exercise QUESTION BANK|103 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector perpedicular to each of the vector veca+vecb and veca-vecb where veca=2hati+hatj+hatk and vecb=hati-hatj+hatk

Find a unit vector perpendicular to each of the vectors (veca +vecb) and (veca-vecb) , where veca=hati+hatj+hatk, vecb=hati+2 hatj+3 hatk

Find |veca xx vecb| , if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 hatj+2 hatk

Find |veca xx vecb| if veca=2 hati+hatj+3 hatk and vecb=3 hati+5 hatj-2 hatk

Find a unit vector perpendicular to veca+vecb and veca-vecb , where veca=i-3j+3k and vecb=3i-3j+2k .

Find |vecaxxvecb| ,If veca=2hati-hatj+3hatk and vecb=hati+2hatj-hatk

Find the angle between the vectors veca=hati+hatj-hatk and vecb=hati-hatj+hatk

Find a unit vector parallel to the sum of vectors veca=2 hati+4 hatj-5 hatk and vecb=hati+2 hatj+3 hatk

Find the sum of the vectors. veca=hati-2 hatj+hatk, vecb=-2 hati+4 hatj+5 hatk and vecc=hati-6 hatj-7 hatk

Find the unit vector in the direction of the vector veca=hati+hatj+2 hatk

V PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Find the area of a parallelogram whose adjacent sides are given by the...

    Text Solution

    |

  2. Find |veca xx vecb|, if. veca=hati-7 hatj+7 hatk and vecb=3 hati-2 h...

    Text Solution

    |

  3. Find a unit vector perpendicular to each of the vector veca+vecb, and ...

    Text Solution

    |

  4. Choose the correct answer from the backet. If a unit vector hata makes...

    Text Solution

    |

  5. Show that (veca-vecb) xx(veca+vecb)=2(veca xx vecb)

    Text Solution

    |

  6. Find lambdaand mu if (2overset^^i+6overset^^j+27overset^^k)xx(overset^...

    Text Solution

    |

  7. Given that oversetrarra.oversetrarrb=0"and"oversetrarraxxoversetrarrb=...

    Text Solution

    |

  8. Let the vectors 'veca, vecb, vecc' be given as 'a1 hati+a2 hatj+a3 hat...

    Text Solution

    |

  9. If either veca=vec0"or" vecb =vec0, "then"vecaxxvecb=vec0.Is the conve...

    Text Solution

    |

  10. Find the area of the triangle with vertices A(1,1,2),B(2,3,5) and C(1,...

    Text Solution

    |

  11. Find the area of the parallelogram whose adjacent sides are determined...

    Text Solution

    |

  12. Let the vectorsveca"and"vecbbe such that |veca|=3"and"|vecb|=sqrt2/3,...

    Text Solution

    |

  13. Area of a rectangle having vertices 'A, B, C' and 'D' with position ve...

    Text Solution

    |

  14. If hati+hatj+hatk, 2 hati+5 hatj, 3 hati+2 hatj-3 hatk and hati-6 hatj...

    Text Solution

    |

  15. Let veca,vecb, " and " vecc be three vectors such that |veca|=3,|vecb|...

    Text Solution

    |

  16. Three vectors veca,vecb,"and" vecc satisfy the conditionveca+vecb+vecc...

    Text Solution

    |

  17. Write down a unit vector in XY plane making an angle of 30^@ with the...

    Text Solution

    |

  18. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  19. If 'veca=vecb+vecc', then is it true that '|veca|=|vecb|+|vecc| ?' Jus...

    Text Solution

    |

  20. Find the value of 'x' for which 'x(hati+hatj+hatk)' is a unit vector.

    Text Solution

    |