Home
Class 12
MATHS
Let barA= hati + 2hatj + 3hatk and vec B...

Let `barA= hati + 2hatj + 3hatk` and `vec B = 3hati + 4hatj + 5hatk`
Equation of a line passing through the point with position vector `2hati+3hatj` and orthogonal to the plane containing the vectors `barA and barB` is

A

`barr=(lamda+2)hati-(2lamda-3)hatj+lamdahatk`

B

`barr=(lamda-2)hati-(2lamda-3)hatj+lamdahatk`

C

`barr=lamdahati+(2lamda-3)hatj-lamdak`

D

None of these

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

What is the vector equation of line through the points with position vectors hati+hatj+2hatk and 2hati+hatk .

The vector equation of a line passing through the point with position vector 2hati - hatj - 4hatk and is in the direction of hati - 2hatj + hatk is

The cartesian form of equation of a line passing through the point with position vector 4hati -hatj +2hatk and is in the direction of -2hati +hatj +hatk ,is

Find the equation of a line passes through the points whose position vectors are (hati+4hatj+hatk) and (2hati-hatj+5hatk) .

Find the vector equation of the line passing through the point with position vector (hati-2hatj+5hatk) and perpendicular to the plane vecr.(2hati-3hatj-hatk)=0 .

The cartesian equation of a line passing through the point having position vector 2hati +hatj - hatk and parallel to the line passing joining the points -hati + hatj + 4hatk and hati + 2hatj + 2hatk , is

Find the vector equation of the plane passing through the point having position vector 2hati + 3hatj + 4hatk and perpendicular to the vector 2hati + hatj -2hatk .

The vector equation of a plane passing through a point having position vector 2hati+3hatj-4hatk and perpendicular to the vector 2hati-hatj+2hatk , is

Find the vector equation of a line which passes through the point with position vector 4hati - hatj + 2 hatk and is in the direction of - 2 hati + hatj + hatk .

FIITJEE-VECTOR-SOLVED PROBLEMS (OBJECTIVE)
  1. barA,barB,barC are three vectors respectively given by 2hati+hatk,hati...

    Text Solution

    |

  2. The number of distinct real values of lamda for which the vectors -lam...

    Text Solution

    |

  3. If bara=i+j+k,bara.barb=1 and baraxxbarb=j-k, then : barb=

    Text Solution

    |

  4. IF bara,barb,barc are unit vectors such that bara+barb+barc=0 then the...

    Text Solution

    |

  5. If bara and barb are two unit vectors and theta is the angle between t...

    Text Solution

    |

  6. If bara,barb,bar c are position vectors of the non- collinear points ...

    Text Solution

    |

  7. Find a unit vector in XY plane, which makes an angle of 45^@ with the ...

    Text Solution

    |

  8. OABC is a tetrahedron. The position vectors of A, B and C are i, i+j a...

    Text Solution

    |

  9. Consider the points A (baro),B(3hati+f(t) hatj+hatk) and C(2hati+f'(t)...

    Text Solution

    |

  10. If vectors ax hati+3hatj-5hatk and xhati+2hatj+2axhatk make an acute a...

    Text Solution

    |

  11. the vector which is orthogonal to the vector 3hati+2hatj+6hatk and is ...

    Text Solution

    |

  12. IF the vector bara and barb are non-coplanar then bara/|bara|+barb/|b...

    Text Solution

    |

  13. Let barA= hati + 2hatj + 3hatk and vec B = 3hati + 4hatj + 5hatk The...

    Text Solution

    |

  14. Let barA= hati + 2hatj + 3hatk and vec B = 3hati + 4hatj + 5hatk Equ...

    Text Solution

    |

  15. If bara=hati+2hatj-3hatk,barb=2hati+hatj-hatk and baru is vector satis...

    Text Solution

    |

  16. A,B,C,D are four points in space and |bar(AB) times bar(CD) +bar(BC) t...

    Text Solution

    |

  17. The points with position vectors 10hati+3hatj,12hati-5hatj and ahati+1...

    Text Solution

    |

  18. Three point A, B and C with position vectors a(1)=3hati-2hatj-hatk, a(...

    Text Solution

    |

  19. Match the following

    Text Solution

    |

  20. Match the following

    Text Solution

    |