Home
Class 12
MATHS
If veca and vecb are non-collinear and v...

If `veca` and `vecb` are non-collinear and `vecp=xveca+(y+1)vecb,vecq=yveca+xvecb`then what is the value of x and y if `vecp=2vecq?`

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

If absveca=10,absvecb=1 and veca.vecb=0 then what is the value of |vecaxxvecb| ?

If y=(1)/(sqrt(x)) then what is the value of y_(2) ?

If veca=2vecb and vecc=-3vecb , then what is the angle between veca and vecc ?

If [[x,y]]+[[3,4]]=[[2,-1]] then what are the values of x and y?

If x+y=4, xy=1 then what is the value of tan^(-1)x+tan^(-1)y ?

If abs(veca)=3,abs(vecb)=2 and veca*vecb=0 , then write the value of abs(vecaxxvecb) .

If veca,vecb and vecc are three vectors such that veca x vecb = vecc and vecb x vecc = veca , then prove that veca,vecb and vecc are mutually at right angles and |vecb| = 1,|vecc| = |veca|

If x+y+z=xyz, then what is the value of tan^(-1)x+tan^(-1)y+tan^(-1)z ?

Three vectors veca, vecb and vecc satisfy the condition veca + vecb + vecc = 0 . Find the value of veca.vecb + vecb.vecc + vecc.veca if |veca| = 1, |vecb|= 4, |vecc|= 2 .

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. What is the general solution of tan^-1sqrt(dy/dx)=x?

    Text Solution

    |

  2. Give an example of symmetric matrix.

    Text Solution

    |

  3. If veca and vecb are non-collinear and vecp=xveca+(y+1)vecb,vecq=yveca...

    Text Solution

    |

  4. If y=cos^(-1)((x-1/x)/(x+1/x)),then what is dy/dx?

    Text Solution

    |

  5. What is the restriction on the formula inta^xdx=a^x/(Ina)?

    Text Solution

    |

  6. Write down the symmetric from of the equation of y-axis.

    Text Solution

    |

  7. Solve:"sin"^(-1)2x+"sin"^(-1)x = pi/3.

    Text Solution

    |

  8. Find all possible equivalence relations on X={1,2,3}

    Text Solution

    |

  9. Find the fesible region of the following system:3x-yge0,xge0,yge0

    Text Solution

    |

  10. In a DeltaABC, if mangleA=90^(@), prove that "tan"^(-1)b/(a+c)+"tan"^(...

    Text Solution

    |

  11. If f:XrightarrowY is onto, then prove that f(f^(-1)(B))=B for all Bsub...

    Text Solution

    |

  12. If A is a 3xx3 matrix and absA=2, then which matrix is represented by ...

    Text Solution

    |

  13. [{:(1,-2),(3,2):}][{:(x,2),(1,y):}]=[{:(-3,4),(-1,4):}], find x and y...

    Text Solution

    |

  14. Solve : [[7,6,x],[2,x,2],[x,3,7]] = 0

    Text Solution

    |

  15. Prove that: |[1, 1, 1],[a, b, c],[a^2, b^2, c^2]|=(a-b)(b-c)(c-a)

    Text Solution

    |

  16. If A is square matrix,then prove that A.(adj*A)=absAI.

    Text Solution

    |

  17. If y=sqrt(x+1)Find deltay and dy when X=8 and dx=0.02.

    Text Solution

    |

  18. Shows that the following functions do not possess maximum or minimum. ...

    Text Solution

    |

  19. Show that x/(1+ x tan x,) x in (0,pi/2)is maximum when x = cos x.

    Text Solution

    |

  20. If x =sin t,y = sin 2t then prove that (1-x^2)(d^2y)/(dx^2)- x dy/dx +...

    Text Solution

    |