Home
Class 12
MATHS
A unit vector normal to the plane throu...

A unit vector normal to the plane through the point i,2j,3k is :

A

`6i+3j+2k`

B

`i+2j+3k`

C

`(6i+3j+2k)/(7)`

D

`(6i+3j+2k)/(9)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (TRUE AND FALSE) |20 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (2) (FILL IN THE BLANKS) |23 Videos

  • ADDITION AND MULTIPLICATION OF VECTORS

    ML KHANNA|Exercise Problem Set (1) (FILL IN THE BLANKS ) |3 Videos

  • AREA OF CURVES

    ML KHANNA|Exercise SELF ASSESSEMENT TEST|16 Videos

Similar Questions

Explore conceptually related problems

A unit vector normal to the plane through the points i,2j and 3k is

Find a unit vector normal to the plane through the points (1, 1, 1), (-1, 2, 3) and (2, -1, 3) .

A unit vector perpendicular to the plane passing through the points whose position vectors are 2i-j+5k,4i+2j+2k and 2i+4j+4k is

A unit vector perpendicular to the plane passing through the points whose position vectors are hat i-hat j+2hat k,2hat i-hat k and 2hat i+hat k is

The vector equation of the line passing through the point i-2j+k and perpendicular to the vectors 2i-3j-k,i+4j-2k is

Write the vector equation of the plane,passing through the point (a,b,c) and parallel to the plane vec r*(hat i+hat j+hat k)=2

Write the vector equation of the plane passing through the point (a,b,c) and parallel to the plane vec r.(hat i+hat j+hat k)=2

The vector equation of the plane through the point hat(i)+2hat(j)-hat(k) and perpendicular to the line of intersection of the plane rcdot(3hat(i)-hat(j)+hat(k))=1 and rcdot(hat(i)+4hat(j)-2hat(k))=2 , is

Find the vector equation of the plane passing through three points with position vectors hat i+hat j-2hat k2hat i-hat j+hat k and hat i+2hat j+hat k Also find the coordinates of the point of intersection of this plane and the line vec r=3hat i-hat j-hat k+lambda(2hat i-2hat j+hat k)

Find the vector equation of the plane passing through three points with position vectors hat i+hat j-2hat k,hat i-hat j+hat k and hat i+2hat j+hat k .Also find the coordinates of the point of intersection of this plane and the line vec r=3hat i-hat j-hat k+lambda(2hat i-2hat j+hat k)

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. The unit vector perpendicular to vector i -j and i + j forming a righ...

    Text Solution

    |

  2. If the position vectors of three points A, B, C are respectively i+j+k...

    Text Solution

    |

  3. A unit vector normal to the plane through the point i,2j,3k is :

    Text Solution

    |

  4. A unit vector making an obtuse angle with x-axis and perpendicular to ...

    Text Solution

    |

  5. The unit vector bot to each of the vector 2i-j+k and 3i+4j-k is

    Text Solution

    |

  6. If A = 2i + 2j-k, B=6i-3j+k,then AxxB will b given by

    Text Solution

    |

  7. If alpha = 2i + 3j - k, beta = -i + 2j-4k, gamma = i+j+k then the valu...

    Text Solution

    |

  8. If vec(r )=x hat(i)+y hat(j)+x hat(k), find : (vec(r )xx hat(i)).(vec...

    Text Solution

    |

  9. If the vectors vec c , vec a=x hat i+y hat j+z hat ka n d vec b= hat ...

    Text Solution

    |

  10. The vector a, b, c are equal in length and taken pairwise they mak equ...

    Text Solution

    |

  11. vecA = (1, -1, 1), vecC = (-1,-1,0) are given vectors then the vector ...

    Text Solution

    |

  12. The vector vecB = 3j + 4k is to be written as the sum of a vector vecB...

    Text Solution

    |

  13. (3)/(2)(i+j)

    Text Solution

    |

  14. and vecB(2) is

    Text Solution

    |

  15. Let the position vectors of the points P, A and B be r,i+j+k and -i+k....

    Text Solution

    |

  16. If a xx b = c xx b ne 0, then

    Text Solution

    |

  17. a xx b = a xx c where (a ne 0) implies that

    Text Solution

    |

  18. If a, b, c be non-zero vectors, then which of the following statements...

    Text Solution

    |

  19. Three points with position vectors, a, b, c are collinear if

    Text Solution

    |

  20. theta is the angle between two vectors a and b then a. b le 0 only if

    Text Solution

    |