Home
Class 12
MATHS
A unit vector perpendicular to the plane...

A unit vector perpendicular to the plane containing the vectors`overset(^)( i) - overset(^)(j)+overset(^)(k )`and `overset(^)(-i)+overset(^)(j)+overset(^)(k)` is...

A

`(overset(^)(i)-overset(^)(j))/(sqrt(2)`

B

`(overset(^)(i)+overset(^)(k))/(sqrt(2))`

C

`(overset(^)(i)-overset(^)(k))/(sqrt(2))`

D

`(overset(^)(i)+overset(^)(j))/(sqrt(2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • KARNATAKA CET 2003

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

  • KARNATAKA CET 2006

    KCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|60 Videos

Similar Questions

Explore conceptually related problems

The projection of the vector overset(^)(i) - 2 overset(^)(j) + overset(^)(k) on the vector 4 overset(^)(i) 4 overset(^)(j) + 7 overset(^)(k) is

The projection of the vector 2overset(^)(i)+overset(^)(j)-3overset(^)(k) on the vector overset(^)(i)-2overset(^)(j)+overset(^)k is...

A unit vector perpendicular to both i+j and j+k is

A unit vector perpendicular to 3i + j +2 k and 2i-j + k is

A unit vector perpendicular to the plane of vec a = 2i-6j-3k and vec b = 4i+3j-k is

The vectors 2overset(hat)i + 3 overset(hat)j-4overset(hat)kand aoverset(hat)i + boverset(hat)j - coverset(hat)(k) are perpendicular if

For any three vectors overset(to)(a) , overset(to)(b) and overset(to) ( c ) , prove that vectors overset(to)(a) - overset(to)(b) , overset(to)(b) - overset(to) ( c), overset(to)(c) - overset(to)(a) are coplanar.

KCET PREVIOUS YEAR PAPERS-KARNATAKA CET 2005-MATHEMATICS
  1. The inverse of the matrix[underset(3)(5)     underset(1)(-2)]is….

    Text Solution

    |

  2. The projection of the vector 2overset(^)(i)+overset(^)(j)-3overset(^)(...

    Text Solution

    |

  3. A unit vector perpendicular to the plane containing the vectorsoverset...

    Text Solution

    |

  4. If 12 cot^(2)theta - 31 cosec theta+32 = 0 then the value of Sin theta...

    Text Solution

    |

  5. The circum-radius of the triangle whose sides are 13, 12 and 5 is...

    Text Solution

    |

  6. If tan^(-1) x + tan^(-1) y =(pi)/(4) then...

    Text Solution

    |

  7. The general solution of sin x - cos x= sqrt2, for any integer 'n' is

    Text Solution

    |

  8. The amplitude of (1+sqrt(3i))/(sqrt(3)+i) is

    Text Solution

    |

  9. The sum to infinity of the progression9-3+1 -(1)/(3) + .... is

    Text Solution

    |

  10. If "C(12) = "^(n)C(6)then (n)(2)^C=

    Text Solution

    |

  11. The middle term in the expansion of((x-(1))/(x))^(18) is...

    Text Solution

    |

  12. If alpha,beta,gamma are the roots of the equation2x^(3) -3x^(2) +6x + ...

    Text Solution

    |

  13. The digit in the units place in the number 7^(289) is...

    Text Solution

    |

  14. If a, b and care mutually perpendicular unit vectors, then |a+b+c|is e...

    Text Solution

    |

  15. The identity element in the group M={((x,x),(x,x))|x in R, x ne 0|} w...

    Text Solution

    |

  16. In the group G = {1,3,7,9) under multiplication modulo 10, the inverse...

    Text Solution

    |

  17. In the group (Q^(+) *) of positive rational numbers w.r.t. the binary ...

    Text Solution

    |

  18. (0,-1) and (0, 3) are two opposite vertices of a square. The other two...

    Text Solution

    |

  19. The equation to the line bisecting the join of (3,-4) and (5,2) and ha...

    Text Solution

    |

  20. The distance between the pair of parallel linesx^(2) + 2xy + y^(2) - 8...

    Text Solution

    |