Home
Class 12
MATHS
Consider the set of eight vector V={a ha...

Consider the set of eight vector `V={a hat i+b hat j+c hat k ; a ,bc in {-1,1}}dot` Three non-coplanar vectors can be chosen from `V` is `2^p` ways. Then `p` is_______.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

Consider the set of eight vector V={ahat i+bhat j+chat k;a,bc in{-1,1}} Three non-coplanar vectors can be chosen from V is 2^(p) ways.Then p is

The value of p so that vectors 2hat i-hat j+hat k , hat i+2hat j-3hat k and 3hat i+phat j+5hat k are coplanar is

Given, two vectors are hat(i)-hat(j) and hat(i)+2hat(j) , the unit vector coplanar with the two vectors and perpendicular to first is

Given three coplanar vectors vec A = 2 hat I - hat j , magnitude of the sum of three vectors.

If the vectors 2a hat i+b hat j+c hat k ,b hat i+c hat j+2a hat ka n dc hat i+2a hat j+b hat k are coplanar vectors and a ,b!=c in R , then straight lines a x+b y+c=0 always pass through: (1,2) b. (2-1) c. (2,1) d. (1,-2)

Two vectors P=2hat I +bhat j +2hat k and Q=hat i+hat j+hat k will be parallel if :

If vec V_(1)=hat i+hat j+hat k;vec V_(2)=ahat i+bhat j+chat k where a,b,c in{-2,-1,0,1,2} then the number of non-zero vectors vec V_(2) which perpendicular to (vec V_(1))/(18) is

The unit vector which is orthogonal to the vector 3hat i+2hat j+6hat k and is coplanar with the vectors 2hat i+hat j+hat k and hat i-hat j+hat k is

Let vec v_1= hat i+ hat j+ hat k&( hat v)_2=a hat i+b hat j+c hat k be two vectors where a ,b ,c{-2,-1,0,1,2} . Then find the number of non-zero vectors vec v_2 for which vec v_1dot vec v_2=0

RESONANCE DPP-JEE MAINS-All Questions
  1. if (y^(2)-y+1)[x-2]lty^(2)+y+1,AAyepsilonR then ([.] denotes G.I.F) nu...

    Text Solution

    |

  2. Let L denotes the number of values of alpha in [0,pi] which satisfy th...

    Text Solution

    |

  3. Consider the set of eight vector V={a hat i+b hat j+c hat k ; a ,bc in...

    Text Solution

    |

  4. f(x)=(1)/(1-x) points of discontinuity of the composite function f(f(x...

    Text Solution

    |

  5. Function g(x)=2f((x^(2))/(2))+f(6-x^(2)) for all xepsilonR is decreasi...

    Text Solution

    |

  6. Q. solve for x, tan^-1(2x)+tan^-1(3x)=pi/4

    Text Solution

    |

  7. The function f(x)=int(-1)^x t(e^t-1)(t-1)(t-2)^3(t-3)^5dt has a local ...

    Text Solution

    |

  8. Radius of the circle x^2+y^2+2x costheta+2y sin theta-8=0 is 1 2. 3...

    Text Solution

    |

  9. Number of solutions of the equation t a n x+s e c x=2cos x lying in th...

    Text Solution

    |

  10. Let F(x)=1+f(x)+(f(x))^2+(f(x))^3 where f(x) is an increasing differen...

    Text Solution

    |

  11. The mean of 11 items overline(X). If first item is increased by 1, sec...

    Text Solution

    |

  12. underset(xto0)(lim)(ln(2+x^(2))-ln(2-x^(2)))/(x^(2)) is equal to

    Text Solution

    |

  13. Number of solutions of the equation e(k-xlnx)=1 for kepsilon(0,(1)/(e)...

    Text Solution

    |

  14. The coefficient of x^(49) in the product (x-1)(x-3)(x+99)i s -99^2 b....

    Text Solution

    |

  15. The argument of the complex number sin 6pi/5 + i ( 1 + cos 6pi/5) is

    Text Solution

    |

  16. In an equilateral triangle, the inradius and the circumradius are c...

    Text Solution

    |

  17. a1,a2, a3, ,an are in A.P. and a1+a3+a5+a7+a9=20 then a5 is 2 2. ...

    Text Solution

    |

  18. Let A ,B ,C are three sets such that n(A)=25 ,n(B)=20 ,n(C)=27 ,n(AnnB...

    Text Solution

    |

  19. All letters of the word 'RACHIT' are permuted in all possible ways ...

    Text Solution

    |

  20. The sum of the series 1+4+3+6+5+8+ upto n term when n is an even numbe...

    Text Solution

    |