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

Find a unit vector perpendicular to each of the vectors `vec(a) + vec(b) and vec (a) - vec(b) ` where `vec(a) = 3 hat (i) + 2 hat (j) + 2 hat (k) ` and ` vec(b) = hat (i) + 2 hat (j) - 2 hat (k) ` .

Promotional Banner

Topper's Solved these Questions

  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

Find a unit vector perpendicular to each of the vector vec a+ vec b and vec a- vec b , where vec a=3 hat i+2 hat j+2 hat k and vec b= hat i+2 hat j-\ 2 hat k

Find a unit vector perpendicular to each of the vectors ( vec a+ vec b) and ( vec a- vec b) , where vec a= hat i+ hat j+ hat k , vec b= hat i+2 hat j+3 hat k .

Find a unit vector perpendicular to both of the vectors vec a+ vec b and vec a- vec b where vec a= hat i+ hat j+ hat k , vec b= hat i+2 hat j+3 hat kdot

Show that the two vectors vec(A) and vec(B) are parallel , where vec(A) = hat(i) + 2 hat(j) + hat(k) and vec(B) = 3 hat(i) + 6 hat(j) + 3 hat(k)

Unit vectors perpendicular to the plane of vectors vec(a) = 2 hat(*i) - 6 hat(j) - 3 hat(k) and vec(b) = 4 hat(i) + 3 hat(j) - hat(k) are

The number of unit vectors perpendicular to the vector vec(a) = 2 hat(i) + hat(j) + 2 hat(k) and vec(b) = hat(j) + hat(k) is

Find the projection of vec(b)+ vec(c ) on vec(a) where vec(a)= 2 hat(i) -2hat(j) + hat(k), vec(b)= hat(i) + 2hat(j)- 2hat(k), vec(c ) = 2hat(i) - hat(j) + 4hat(k)

Find a unit vector perpendicular to the plane containing the vectors vec a=2 hat i+ hat j+ hat k\ a n d\ vec b= hat i+2 hat j+ hat kdot

Determine lambda such that a vector vec(r) is at right angles to each of the vectors vec(a) = lambda hat(i) + hat(j) + 3hat(k), vec(b) = 2hat(i) + hat(j) - lambda hat(k), vec(c) = -2hat(i) + lambda hat(j) + 3hat(k) .

Find ( vec a+3 vec b).(2 vec a- vec b) , If vec a= hat i+ hat j+2 hat k and vec b=3 hat i+2 hat j- hat k

RD SHARMA ENGLISH-VECTOR OR CROSS PRODUCT -All Questions
  1. (22) if vec p and vec qare unit vectors forming an angle of 30^@; find...

    Text Solution

    |

  2. If vec p and vec q are unit vectors forming an angle of 30^0; ...

    Text Solution

    |

  3. Find a unit vector perpendicular to each of the vectors vec(a) + vec(b...

    Text Solution

    |

  4. Find the area of the parallelogram whose diagonals are : 4 hat i- ...

    Text Solution

    |

  5. Find Find the area of the parallelogram determined by the vectors: 2 ...

    Text Solution

    |

  6. Find a vector of magnitude 49, which is perpendicular to both the v...

    Text Solution

    |

  7. If vec a=3 hat i- hat j-2 hat k and vec b=2 hat i+3 hat j+ hat k , ...

    Text Solution

    |

  8. If vec a=3 hat i-2 hat k and vec b=- hat i+3 hat k , find | veca x...

    Text Solution

    |

  9. Using vectors: Prove that if a,b,care the lengths of three sides of a ...

    Text Solution

    |

  10. Prove by vector method that the parallelogram on the same base and ...

    Text Solution

    |

  11. If D ,E ,F are the mid-points of the sides B C ,C Aa n dA B respective...

    Text Solution

    |

  12. Let vec O A= vec a , vec O B=10 vec a+2 vec b ,a n d vec O C=bw h e r...

    Text Solution

    |

  13. A B C D is quadrilateral such that vec A B= vec b , vec A D= vec d , ...

    Text Solution

    |

  14. If veca , vec b , vec c are three vectors such that veca+ vec b+ vec...

    Text Solution

    |

  15. Prove that the normal to the plane containing three points whose po...

    Text Solution

    |

  16. If vec axx vec b= vec axx vec c , vec a!= vec0a n d vec b!= vec c , s...

    Text Solution

    |

  17. For any two vectors vec aa n d vec b , show that (1+| vec a|^2)(1+| v...

    Text Solution

    |

  18. If veca , vec b , vec c are the position vectors of the vertices A ,B ...

    Text Solution

    |

  19. For any three vectors veca , vec b , vec c show that vecaxx( vec b+ ...

    Text Solution

    |

  20. Show that perpendicular distance of the point vec c from the line joi...

    Text Solution

    |