Home
Class 12
PHYSICS
overline(x)andoverline(y) be two variab...

`overline(x)andoverline(y)` be two variable vectors satisfying simultaneous vector equation
`overline(x)+overline(c)xxoverline(y)=overline(a)`
`overline(y)+overline(c)xxoverline(x)=overline(b)` where `overline ( c)` is a non zero vector . Then the value of `overline(x)andoverline(y)` is given by

A

`overline(x)=(overline(a)+(overline(a).overline(c))overline(c)+overline(b)xxoverline(c))/(1+|c|^(2))`

B

`overline(x)=(overline(b)+(overline(b).overline( c))overline(c)+overline(a)xxoverline(c))/(1+|c|^(2))`

C

`overline(y)=(overline(a)+(overline(a).overline(c))overline(c)+overline(b)xxoverline(c))/(1+|overline(c)|)`

D

`y=(overline(b)+(overline(b).overline(c))overline(c)+overline(a)xxoverline(c))/(1+|overline(c)|^(2))`

Text Solution

Verified by Experts

The correct Answer is:
A, B, D
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    ALLEN|Exercise PHYSICS|18 Videos
  • TEST PAPER 4

    ALLEN|Exercise PHYSICS|45 Videos
  • UNIT & DIMENSIONS, BASIC MATHS AND VECTOR

    ALLEN|Exercise Exercise (J-A)|7 Videos

Similar Questions

Explore conceptually related problems

[[overline(a)-overline(b), overline(b)-overline(c), overline(c)-overline(a)]]=

[[overline(a)+overline(b), overline(b)+overline(c), overline(c)+overline(a)]]=

overline(a)*((overline(a)+overline(b)+overline(c))times(overline(b)+overline(c)))=

If overline(c)=3overline(a)-2overline(b) , then [[overline(a), overline(b), overline(c)]]=

[[overline(a), overline(b)+overline(c), overline(c)+overline(b)+overline(a)]]=

If [[overline(a), overline(b), overline(c)]]=12 , then [[overline(a)+overline(b), overline(b)+overline(c), overline(c)+overline(a)]]=

For non-zero vectors overline(a), overline(b), overline(c), (overline(a)timesoverline(b))*overline(c)=|overline(a)||overline(b)||overline(c)| holds, iff

Value of ((overline(a)+overline(b)+overline(c))times(overline(b)-overline(a)))*overline(c) is

If [[3overline(a)+5overline(b), overline(c), overline(d)]]=p[[overline(a), overline(c), overline(d)]]+q[[overline(b), overline(c), overline(d)]] , then p+q=

ALLEN-TEST PAPERS-MATHS
  1. If complex number z(zne2) satisfies the equation z^(2)=4z+|z|^(2)+(16)...

    Text Solution

    |

  2. Let omegabe a complex number which satisfies iomega=(u^(2)-1)/(u^(2)+...

    Text Solution

    |

  3. If the function f(x)={{:((1+cospix)/(pi^(2)(x+1)^(2)),",",xlt-1),(ax...

    Text Solution

    |

  4. The value of the following limit lim(ntooo) n(n+1)(ln(1+(1)/(n))-sin((...

    Text Solution

    |

  5. number of solutions for x between 3 and 15 if int(0)^(x)[t]dt=int(0)^(...

    Text Solution

    |

  6. If the length of perpendicular from (0,0,0) to the plane ax+by+cz+d=0 ...

    Text Solution

    |

  7. A transversal cuts side AB and AD and diagonal AC of parallelogram ABC...

    Text Solution

    |

  8. Consider curve y=(1+x)^(y)+sin^(-1)(sin^(2)x). Which of the following ...

    Text Solution

    |

  9. The x-intercept of the tangent to a curve is equal to the ordinate of ...

    Text Solution

    |

  10. Suppose y=f(x)andy=g(x) are two functions whose graph intersect at th...

    Text Solution

    |

  11. A function y=f(x) satisfies f"(x)=-(1)/(x^(2))-pisin(pix),f(2)=pi+(1)...

    Text Solution

    |

  12. Let(1+X^(2))^(2)(1+X)^(n)=sum(k=0)^(n+4)a(k)X^(k).ifa(1),a(2),a(3) ar...

    Text Solution

    |

  13. If f(x) is double differentiable function such that |f"(x)|le5 for ea...

    Text Solution

    |

  14. overline(x)andoverline(y) be two variable vectors satisfying simultan...

    Text Solution

    |

  15. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  16. The curve defined by sqrt((x)/(a))+sqrt((y)/(b))=1 gives a part of pa...

    Text Solution

    |

  17. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |

  18. In a problem of differentiation of (f(x))/(g(x)), one student writes ...

    Text Solution

    |