Home
Class 12
MATHS
If A=(cosalpha-sinalpha0sinalphacosalpha...

If `A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1),` find `a d jdotA` and verify that `A(a d jdotA)=(a d jdotA)A=|A|I_3dot`

Promotional Banner

Topper's Solved these Questions

  • CUET MOCK TEST 2022

    XII BOARDS PREVIOUS YEAR|Exercise Question|49 Videos
XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

    Text Solution

    |

  2. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) wrt sin ^(-1)((2x)/(1+x^2))d...

    Text Solution

    |

  3. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

    Text Solution

    |

  4. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

    Text Solution

    |

  5. Find the values of a and b , if the function f defined by f(x)={x^...

    Text Solution

    |

  6. A coaching institute of English (subject) conducts classes in two batc...

    Text Solution

    |

  7. If 213(-1 0-1-1 1 0 0 1 1)(1 0-1)=A , then write the order of matrix A...

    Text Solution

    |

  8. If A=(3 5 7 9) is written as A = P + Q, where P is a symmetric matrix ...

    Text Solution

    |

  9. If |[x,si ntheta,costheta],[-si ntheta,-x,1],[costheta,1 ,x]|=8, writ...

    Text Solution

    |

  10. If | vec ax vec b|^2+| vec adot vec b|^2=400 and | vec a|=5, then writ...

    Text Solution

    |

  11. If vec a , vec b , vec c are unit vectors such that vec a+ vec b+ ve...

    Text Solution

    |

  12. Write the equation of a plane which is at a distance of 5sqrt(3) units...

    Text Solution

    |

  13. Using integration find the area of the region bounded by the curves y=...

    Text Solution

    |

  14. If f,g:R->R be two functions defined as f(x)=|x|+x and g(x)=|x|-x. Fi...

    Text Solution

    |

  15. In order to supplement daily diet, a person wishes to take X and Y ...

    Text Solution

    |

  16. Bag A contains 3 red and 5 black balls, while bag B contains 4 red and...

    Text Solution

    |

  17. Find the equation of the plane which contains the line of intersection...

    Text Solution

    |

  18. Solve for x : tan^(-1)((x-2)/(x-1))+tan^(-1)((x+2)/(x+1))=pi/4

    Text Solution

    |

  19. Prove that : cot^(-1)(sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1...

    Text Solution

    |

  20. Evaluate: int((x^2+1)(x^2+4))/((x^2+3)(x^2-5))\ dx

    Text Solution

    |