Home
Class 12
MATHS
Let a-i+j and b=2i-k.The point of inters...

Let `a-i+j` and `b=2i-k`.The point of intersection of the lines `r times a=b times a` and `r times b=a times b` is

A

`(-1,1,1)`

B

`(3,-1,1)`

C

`(3,1,-1)`

D

`(1,-1,-1)`

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

The point of intersection of the lines r times a=b times a, r times b=a times b is

Find a times b if a=i-j+k" and "b=i+j-3k .

Let a=i-2j+k" and "b=i-j+lambdak , (where lambda in Z ) be two vectors. If c is a vector such that a times b=c timesb, c*a=0" and "2b*c+1=0," then "lambda= ________

If a=1+2j-3k,b=2i+j-k and u is a vector satisfying a times u=a times b and a .u=0 then 2|u|^(2) is equal to

The point of intersection of r xx a=b xx a and r xx b=a xx b where r is a variable vector and a and b are non-zero,non-collinear vectors,is

ML KHANNA-ADDITION AND MULTIPLICATION OF VECTORS -Problem Set (2) (MULTIPLE CHOICE QUESTIONS)
  1. A unit vector normal to the plane through the point i,2j,3k is :

    Text Solution

    |

  2. A, B and C are three vectors given by 2hat(i)+hat(k), hat(i)+hat(j)+ha...

    Text Solution

    |

  3. Let a-i+j and b=2i-k.The point of intersection of the lines r times a=...

    Text Solution

    |

  4. Given a=i+j-k, b=-i+2j+k" and "c=-i+2j-k. A unit vector perpendicular ...

    Text Solution

    |

  5. Find vectors perpendicular to the plane of vectors a=2i-6j+3k" and "b=...

    Text Solution

    |

  6. Read the following passage and answer the questions. Consider the line...

    Text Solution

    |

  7. The unit vector perpendicular to vector i -j and i + j forming a righ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  19. (3)/(2)(i+j)

    Text Solution

    |

  20. and vecB(2) is

    Text Solution

    |