Home
Class 12
MATHS
If vec a , vec b , vec c , vec d are n...

If ` vec a , vec b , vec c , vec d` are non-zero, non collinear vectors and if `( vec ax vec b)x( vec cx vec d)dot( vec ax vec d)=0` , then which of the following is always true. ` vec a , vec b , vec c , vec d` are necessarily coplanar either ` vec a` or ` vec d` must lie in the plane of ` vec b` and ` vec c` either ` vec b` or ` vec c` must lie in plane of ` vec a` and ` vec d` either ` vec a` or ` vec b` must lie in plane of ` vec c` and ` vec d`

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

If (vec a xxvec b)xx(vec c xxvec d)*(vec a xxvec d)=0 then which of the following may be true? vec a,vec b,vec c and vec d are necessarily coplanar b.vec a lies in the plane of vec c and vec d c.vec b lies in the plane of vec a and vec d d.vec c lies in the plane of vec a and vec d

If vec a , vec b , vec c are three non coplanar vectors such that vec ddot vec a= vec ddot vec b= vec ddot vec c=0, then show that d is the null vector.

If vec a,vec c,vec d are non-coplanar vectors,then vec d*{vec a xx[vec b xx(vec c xxvec d)]} is equal to

If vec a, vec b, vec c are non-coplanar vectors and vec v * vec a = vec v * vec b = vec v * vec c = 0, then vec v must be a

The vectors vec a,vec b,vec c,vec d are coplanar then

vec a, vec b, vec c, dare any four vectors then (vec a xxvec b) xx (vec c xxvec d) is a vector Perpendicular to vec a, vec b, vec c, vec d

If vec( a) , vec( b) , vec( c ) are non coplanar non-zero vectors such that vec( b) xxvec( c) = vec( a ), vec( a ) xx vec( b) =vec( c ) and vec( c ) xx vec( a ) = vec ( b ) , then which of the following is not true

If vec a , vec b , vec c are three non-zero vectors (no two of which are collinear), such that the pairs of vectors (vec a + vec b, vec c) and (vec b + vec c , vec a) are collinear, then vec a + vec b + vec c =

If vec a,vec b,vec c are three non coplanar vectors such that vec a.vec a*vec a=vec dvec b=vec d*vec c=0 then show that vec d is the null vector.

If vec a,vec b and vec c are three non-zero vectors,prove that [vec a+vec b,vec b+vec c,vec c+vec a]=2[vec a,vec b,vec c]

RESONANCE DPP-JEE MAINS-All Questions
  1. If vec a and vec b are non-zero and non-collinear vectors, then ve...

    Text Solution

    |

  2. Let A=Minimum(x^2-2x+7),x in R and B= Minimum(x^2-2x+7),x in [2,oo),...

    Text Solution

    |

  3. If vec a , vec b , vec c , vec d are non-zero, non collinear vectors...

    Text Solution

    |

  4. The lines L1: x-2y+6=0&L2: x-2y-9=0 are tangents to the same circle. I...

    Text Solution

    |

  5. The solution set of x in (-pi,pi) for the inequality sin2x+1lt=cosx+2s...

    Text Solution

    |

  6. Equation 12 x^4-56 x^3+89 x^2-56 x+12=0 has four real and distinct roo...

    Text Solution

    |

  7. Equation x^2e^x=k has Three real solution if k in (0,4e^(-2)) Two rea...

    Text Solution

    |

  8. If f is twice differentiable such that f^('')(x)=-f(x) and f^(prime)...

    Text Solution

    |

  9. Equation (x+2)(x+3)(x+8)(x+12)=4x^2 has (A) four real and distinct roo...

    Text Solution

    |

  10. Consider the function f(x)=m x^2+(2m-1)x+(m-2) If f(x)>0AAx in R the...

    Text Solution

    |

  11. The least integral value of ' a ' for which the graphs y=2a x+1 and y=...

    Text Solution

    |

  12. If the ratio of the roots of the equation, x^2+alphax+alpha+2=0 is equ...

    Text Solution

    |

  13. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^3dot(d^2y)...

    Text Solution

    |

  14. Let A=[(1,-1,1),(2,1,-3),(1,1,1)] and B=[(4,2,2),(-5,0,alpha),(1,-2,3)...

    Text Solution

    |

  15. Equation of line B C is 14 x+23 y-40=0 (b) 4x-2y+1=0 4x+2y-1=0 (d) ...

    Text Solution

    |

  16. The equation: (5+2sqrt(6))^x^(2-3)+(5-2sqrt(6))^x^(2-3)=10h a s Four ...

    Text Solution

    |

  17. In a parallelogram as shown in the figure (a != b) : equation of the ...

    Text Solution

    |

  18. The two adjacent one of the diagonals of the parallelogram is along th...

    Text Solution

    |

  19. If (x1, y1)&(x2, y2) are the solutions of the equaltions, (log)(225)(x...

    Text Solution

    |

  20. If g(x) =2f(2x^3-3x^2)+f(6x^2-4x^3-3) AA x in R and f''(x) gt 0 AA x ...

    Text Solution

    |