Home
Class 12
MATHS
If vec(a), vec(b) and vec(c) are three v...

If `vec(a), vec(b)` and `vec(c)` are three vectors such that `vec(a) + vec(b) + vec(c) = vec(0)`, then prove that `vec(a) xx vec(b) = vec(b) xx vec(c) = vec(c) xx vec(a)`.

Promotional Banner

Topper's Solved these Questions

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 7

    ARIHANT PRAKASHAN|Exercise Section C (30 MARKS)|32 Videos

  • VERY SIMILAR TEST 6

    ARIHANT PRAKASHAN|Exercise SECTION C ANSWER ANY ONE QUESTIONS|11 Videos

  • VERY SIMILAR TEST 8

    ARIHANT PRAKASHAN|Exercise Section C|25 Videos

Similar Questions

Explore conceptually related problems

For any three vectors vec(a), vec(b) and vec(c) , prove that vec(a) xx (vec(b) - vec(c)) = (vec(a) xx vec(b)) - (vec(a) xx vec(c)) .

If vec(a) and vec(b) are two vectors, such that |vec(a)| = 2, |vec(b)| = 1 and vec(a).vec(b) = 1 , then find (3 vec(a) - 5vec(b)).(2vec(a) + 7vec(b)) .

If vec(a)= vec(b) + vec( c) , then write the value of vec(a).(vec(b) xx vec(c ))

If vec(a),vec(b), vec(c) are such that vec(a).vec(b) = vec(a).vec(c) then show that vec(a) = 0 or vec(b) = vec(c) or vec(a) is perpendicular to vec(b) - vec(c) .

Prove that vec(a) xx (vec(b) + vec(c)) + vec(b) xx (vec(c) + vec(a)) + vec(c) xx (vec(a) + vec(b)) = vec(0)

ARIHANT PRAKASHAN-VERY SIMILAR TEST 7-Section B (60 MARKS)
  1. There are 25 tickets bearing numbers from 1 to 25. One ticket is drawn...

    Text Solution

    |

  2. IF A=[(1,tanx),(-tanx,1):}] then show that A^TA^-1=[(cos2x,-sin2x),(s...

    Text Solution

    |

  3. Show that the following systems of linear equations is consistent and ...

    Text Solution

    |

  4. If A+B+C = pi, prove that [[sin^2A,cotA,1],[sin^2B,cotB,1],[sin^2C,c...

    Text Solution

    |

  5. Find the probability distribution of number of doublets in four throws...

    Text Solution

    |

  6. Find the equasion of the tangents drawn from the point (1,2) to the cu...

    Text Solution

    |

  7. Find the intervals in which the function y="sin"x,x in[0, 2pi] is in...

    Text Solution

    |

  8. If y =(sin^(-1) x)^2, prove that (1-x^2)y2 - xy1 - 2 = 0

    Text Solution

    |

  9. Differentiate "log"(10)x+"log"(x)10+"log"(x)x+"log"(10)10.

    Text Solution

    |

  10. Verify the LMVT for the function f(x)=(1)/(4x-1),1lexle4.

    Text Solution

    |

  11. Find the solution of the differential equation. (x-y-2)dx+(x-2y-3)dy...

    Text Solution

    |

  12. Find the differential equation by eleminating the orbitary constants i...

    Text Solution

    |

  13. Evaluate int(e^(6"log"x)-e^(5"log"x))/(e^(4"log"x)-e^(3"log"x))dx

    Text Solution

    |

  14. Prove that int(-1)^(1)log((2-x)/(2+x))dx=0

    Text Solution

    |

  15. Find the area enclosed bt the two paraboles y^2=4 ax and x^2=4ay.

    Text Solution

    |

  16. By computing shortest distance, determine whether the following pair o...

    Text Solution

    |

  17. Find the equation of the plane Paralel to the plane 2x-y+3z+1=0 and at...

    Text Solution

    |

  18. If vec(a), vec(b) and vec(c) are three mutually perpendicular vectors...

    Text Solution

    |

  19. If vec(a), vec(b) and vec(c) are three vectors such that vec(a) + vec(...

    Text Solution

    |

  20. If hat(a), hat(b), hat(c) are unit vectors and hat(a) xx (hat(b) xx ha...

    Text Solution

    |