Home
Class 12
MATHS
Let A ,B ,C be points with position ve...

Let `A ,B ,C` be points with position vectors `2 hat i- hat j+ hat k , hat i+2 hat j+3 hat ka n d3 hat i+ hat j+2 hat k` respectively. Find the shortest distance between point `B` and plane `O A Cdot`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos

  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

find the projection of 3hat i - hat j + 4hat k on 2 hat i + 3 hat j -6 hat k

Prove that point hat i +2 hat j - 3 hat k ,2 hat i - hat j + hat k and 2 hat i + 5 hat j - hat k from a triangle in space.

Find the angle between the vectors hat i-2 hat j+3 hat k and 3 hat i-2 hat j+ hat kdot

Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3 hat j+2 hat ka n d3 hat i+4 hat k from a triangle or not

Find the projection of vector hat i+3 hat j+7 hat k on the vector 7 hat i- hat j+8 hat kdot

If points hat i+ hat j , hat i- hat j and p hat i+q hat j+r hat k are collinear, then

Let vec a= hat i+2 hat j+ hat k , vec b= hat i- hat j+ hat ka n d vec c= hat i+ hat j- hat kdot Then find [vec a vec b vec c]

Find | -> axx -> b|, if -> a=2 hat i+ hat j+3 hat k and -> b=3 hat i+5 hat j-2 hat k .

If vec a=3 hat i- hat j-4 hat k , vec b=2 hat i+4 hat j-3 hat k and vec c= hat i+2 hat j- hat k , find |3 vec a-2 hat b+4 hat c|dot

The dot products of a vector with the vectors hat (i) - 3 hat(k) , hat (i) - 2hat (k) and hat (i) + hat (j)+ 4 hat (j) are 0,5,8 respectively . Find the vector .

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Show by a numerical example and geometrically also that vec axx ve...

    Text Solution

    |

  2. In triangle A B C ,points D , Ea n dF are taken on the sides B C ,C Aa...

    Text Solution

    |

  3. Let A ,B ,C be points with position vectors 2 hat i- hat j+ hat k , ...

    Text Solution

    |

  4. Let vec a and vec b be unit vectors such that | vec a+ vec b|=sqrt(3)...

    Text Solution

    |

  5. If u and v are two non-collinear unit vectors such that |vecu...

    Text Solution

    |

  6. A rigid body is spinning about a fixed point (3,-2,-1) with an angu...

    Text Solution

    |

  7. vec rxx vec a= vec bxx vec a ; vec rxx vec b= vec axx vec b ; vec a!= ...

    Text Solution

    |

  8. If | vec a|=2, then find the value of | vec axx hat i|^2+| vec axx hat...

    Text Solution

    |

  9. If veca , vecb , vecc are position vectors of the vertices A, ...

    Text Solution

    |

  10. A , B , Ca n dD are any four points in the space, then prove that | ...

    Text Solution

    |

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

    Text Solution

    |

  12. Using vectors, find the area of the triangle with vertices A (1, 1,...

    Text Solution

    |

  13. Let vec a , vec ba n d vec c be three verctors such that vec a!=0...

    Text Solution

    |

  14. Find the area of a parallelogram whose diagonals are vec a=3 hat i+...

    Text Solution

    |

  15. If vec a and vec b are unit vectors such that ( vec a+ vec b).[(2 ve...

    Text Solution

    |

  16. If vec aa n d vec b are any two unit vectors, then find the greate...

    Text Solution

    |

  17. If the vectors vec a , vec b ,a n d vec c form the sidesB C ,C Aa n d...

    Text Solution

    |

  18. Let vec u be a vector on rectangular coordinate system with slopin...

    Text Solution

    |

  19. Two adjacent sides of a parallelogram A B C D are given by vec A B...

    Text Solution

    |

  20. Let vec a , vec b ,a n d vec c be non-coplanar unit vectors, equall...

    Text Solution

    |