Home
Class 12
MATHS
i(jxx k ) + j ( k xx i) + k (j xx i)...

`i(jxx k ) + j ( k xx i) + k (j xx i) ` is equal to

A

` 3 `

B

` 2 `

C

`1`

D

`0`

Text Solution

Verified by Experts

The correct Answer is:
C
Given `i(j xx k ) + j ( k xx i) + k(j xxi) `
` i*(i) + j*(j) + k(-k) `
` = (i*i) + (j*j) - (k*k) `
` = 1 + 1 + 1 - 1 = 1 `
Promotional Banner

Topper's Solved these Questions

  • MHTCET 2011

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise METHEMATICS|50 Videos

  • MHTCET 2016

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise Mathematics|50 Videos

Similar Questions

Explore conceptually related problems

i · (j xx k) + j · (k xx i) + k · (i xx j ) =

2i · (j xx k) - 3j · (i xx k) - 4k · (i xx j) =

(r.i)(r xx i)+(r.j)(r xx xj)+(r.k)(r xx k) is equal to

hat i xx(vec a xxhat i)+hat j xx(vec a xxhat j)+hat k xx(vec a xxhat k) is equal to

If vec a =2 hat i + hat j + 2 hat k , then the value of | hat i xx (vac a xx hat i)|^(2) + | hat i xx (vec a xx hat j)|^(2) + |hatk xx (vec a xx hat k)|^(2) equal to _______

If bara = 2i + 3j - k , barb = - i + 2 j - 4k and barc = i + j + k . then (a xx b) · ( a xx c)

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MHTCET 2012-MATHEMATICS
  1. If O\ a n d\ O^(prime) are circumcentre and orthocentre of \ A B C ,\ ...

    Text Solution

    |

  2. If veca+vecb+vecc=vec0, |veca| = 3, |vecb| = 5, |vecc| = 7, then angle...

    Text Solution

    |

  3. i(jxx k ) + j ( k xx i) + k (j xx i) is equal to

    Text Solution

    |

  4. One card is drawn at random from a pack of playing cards the p...

    Text Solution

    |

  5. 15 coins are tossed , the probability of getting heads will be

    Text Solution

    |

  6. The odds against solving a problem by A and B are 3 :2 and 2 : ...

    Text Solution

    |

  7. The line lx+my+n=0 is a normal to the parabola y^2 = 4ax if

    Text Solution

    |

  8. The line 2x+y+lamda=0 is a normal to the parabola y^(2)=-8x, is lamda=

    Text Solution

    |

  9. The line lx+my+n=0 is a normal to the parabola y^2 = 4ax if

    Text Solution

    |

  10. f : Rto R, then f ( x ) = x |x| will be

    Text Solution

    |

  11. lim ( x to pi//2 ) ( sec x - tan x ) is equal to

    Text Solution

    |

  12. If f(x)={((log(1+2ax)-log(1-bx))/(x)",", x ne 0),(k",", x =0):} is con...

    Text Solution

    |

  13. If f ( x ) = |x - 3|, then f' ( 3 ) is

    Text Solution

    |

  14. If tan x = (2t)/(1 -t^(2)) " and sin y" = (2t)/(1 + t^(2)) , then the...

    Text Solution

    |

  15. If x^(p) + y^(q) = (x + y)^(p+q) , " then" (dy)/(dx) is

    Text Solution

    |

  16. All points on the curve y^(2)=4a(x+a" sin"(x)/(a)) at which the tangen...

    Text Solution

    |

  17. The length of normal at any point to the curve, y=c cosh(x/c) is

    Text Solution

    |

  18. The height of right circular cylinder of maximum volume in a sphere of...

    Text Solution

    |

  19. If and k are segments of a focal chord of the parabola y^(2)= 4ax, th...

    Text Solution

    |

  20. The equation of directrix is to the parabola 4x ^ 2 - 4x - 2...

    Text Solution

    |