Home
Class 12
MATHS
If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d...

If `P_1:vec r.vecn_1-d_1=0` `P_2:vec r.vec n_2-d_2=0` and `P_3:vec r.vecn_3-d_3=0` are three planes and `vec n_1, vec n_2` and `vec n_3` are three non-coplanar vectors, then three lines `P_1= 0`, `P_2=0`; `P_2=0`,`P_3=0` ; `P_3=0` `P_1=0` are
a. parallel lines
b. coplanar lines
c. coincident lines
d. concurrent lines

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If P_1:vec r.vecn_1-d_1=0 P_2:vec r.vec n_2-d_2=0 and P_3:vec r.vecn_3-d_3=0 are three non-coplanar vectors, then three lines P_1= 0 , P_2=0 ; P_2=0 , P_3=0 ; P_3=0 P_1=0 are

Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c are non-coplanar vectors (where vec a , vec b , vec c are non-coplanar vectors)

Show that the vectors 2 vec a- vec b+3 vec c , vec a+ vec b-2 vec ca n d vec a+ vec b-3 vec c are non-coplanar vectors (where vec a , vec b , vec c are non-coplanar vectors)

Write the condition for the lines vec r= vec a_1+lambda vec b_1 a n d\ vec r= vec a_2+mu vec b_2dot\ to be intersecting.

Show that the vectors vec a-2 vec b+3 vec c , vec a-3 vec b+5 vec ca n d-2 vec a+3 vec b-4 vec c are coplanar, where vec a , vec b , vec c are non-coplanar.

If vec a , vec b ,\ vec c are three non coplanar mutually perpendicular unit vectors then [ vec a\ vec b\ vec c] is +-1 b. "\ "0"\ " c. -1 d. 2

If P ,Q and R are three collinear points such that vec P Q= vec a and vec Q R = vec bdot Find the vector vec P R .

If vec r. vec a=0, vec r. vec b=1 \ and \ [[ vec r ,vec a, vec b]]=1, vec adot vec b!=0,( vec adot vec b)^2-| vec a|^2| vec b|^2=-1, then find vec r in terms of vec a \ and \ vec b .

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

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

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If I=intdx/(x^4sqrt(a^2+x^2)),t h e nI equals 1/(a^4)[1/xsqrt(a^2+x^2...

    Text Solution

    |

  2. If f(x)={[e^x+a, xlt0],[x-3, xge0]}, is differentiable at x=0, then...

    Text Solution

    |

  3. If P1:vec r.vecn1-d1=0 P2:vec r.vec n2-d2=0 and P3:vec r.vecn3-d3=0 ar...

    Text Solution

    |

  4. A function y-f (x) satisfies the differential equation f (x) sin 2x ...

    Text Solution

    |

  5. If alpha,beta , are roots of the equation x^2+x sqrt(alpha)+beta=0 the...

    Text Solution

    |

  6. Let A=int(0)^(1)(e^(x))/(x+1) dx then answer the following questions i...

    Text Solution

    |

  7. 16 players P1,P2,P3,.. P16 take part in a tennis tounament. Lower suff...

    Text Solution

    |

  8. A card is lost from a pack of 52 playing cards. From the remainder of ...

    Text Solution

    |

  9. A normal is drawn at a point P(x , y) of a curve. It meets the x-axis ...

    Text Solution

    |

  10. If f(x)=cos^(-1)(sgn((2[x])/(3x-[x]))), where sgn ( ) denotes the sign...

    Text Solution

    |

  11. 16 players P(1),P(2),P(3),….P(16) take part in a tennis tournament. Lo...

    Text Solution

    |

  12. If circles are drawn taking two sides of a triangle as diameters, prov...

    Text Solution

    |

  13. A straight line through the point A (-2,-3) cuts the line x+3y=0 and x...

    Text Solution

    |

  14. Let there be 4 boys and 4 girls are standing in a row. If m is the ...

    Text Solution

    |

  15. There are 12 points in a plane of which 5 are collinear. The maximum n...

    Text Solution

    |

  16. Let f(x)=lim(n rarr oo)(x^(2n-1)+ax^(2)+bx)/(x^(2n)+1). If f(x) is con...

    Text Solution

    |

  17. Obtain the differential equation of the family of circles passing thro...

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. If 3x+4y+k=0 represents the equation of tangent at the vertex of the ...

    Text Solution

    |

  20. For a function f:AtoB such that n(A)=a,n(B)=b(a,b in N) then which of ...

    Text Solution

    |