Home
Class 12
MATHS
Let veca=hati-hatj+hatk, vecb=2hati+hatj...

Let `veca=hati-hatj+hatk, vecb=2hati+hatj` and `vecc=3hatj-2hatk,vecx,vecy,vecz` be linear combination of `veca,vecb,vecb,vecc,vecc,veca` respectively and `vecr=lamdavecx+muvecy+deltavecz,lamda,mu,delta` are some scalars. If `vecd` is equally inclined to three vectors `veca,vecb,vecc` then

A

`vecx.vecd=14`

B

`vecy.vecd=3`

C

`vecz.vecd=0`

D

`vecr.vecd=0`

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

  • TEST PAPERS

    RESONANCE ENGLISH|Exercise Math|105 Videos
  • TEST PAPER

    RESONANCE ENGLISH|Exercise MATHEMATICS|48 Videos
  • TEST SERIES

    RESONANCE ENGLISH|Exercise MATHEMATICS|132 Videos

Similar Questions

Explore conceptually related problems

Let veca=hati-hatj+hatk, vecb=2hati+hatj+hatk and vecc=hati+hatj-2hatk , then the value of [(veca, vecb, vecc)] is equal to

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=2hati+3hatj+hatk, vecb=hati-2hatj+hatk and vecc=-3hati+hatj+2hatk , then [veca vecb vecc]=

If veca=hati+hatj+hatk, vecb=2hati-hatj and vecc=3hatj+hatk then verify the following: veca.(vecb+vecc)=veca.vecb+veca.vecc .

If veca=hati+hatj+hatk, vecb=2hati-hatj and vecc=3hatj+hatk then verify the following: (veca+vecb).(veca-vecb)=a^2-b^2 .

if veca=hati-hatj-3hatk, vecb=4hati-3hatj+hatk and vecc=2hati+hatj+2hatk, verify that vecaxx(vecb+vecc)=vecaxxvecb+vecaxxvecc

If vecaa=hati+2hatj+3hatk, vecb=2hati-hatj+hatk and vecc=hati+hatj-2hatk, verify that vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc.

Given veca=xhati+yhatj+2hatk,vecb=hati-hatj+hatk , vecc=hati+2hatj, veca botvecb,veca.vecc=4 then find the value of [(veca, vecb, vecc)] .

If veca=2hati+2hatj-hatk, vecb=3hati-hatj-hatk and vecc=hati+2hatj-3hatk then verify that vecaxx(vecbxxvecc)=(veca.vecc)vecb-(veca.vecb)vecc .

Let veca=hati+hatj+hatk, vecb=hati-hatj+hat2k and vecc=xhati+(x-2)hatj-hatk . If the vector vecc lies in the plane of veca and vecb then x equals

RESONANCE ENGLISH-TEST PAPERS-MATHEMATICS
  1. For any two events A and B in a sample space:

    Text Solution

    |

  2. The function f(x)=sqrt(a x^3+b x^2+c x+d) has its non-zero local mini...

    Text Solution

    |

  3. Let veca=hati-hatj+hatk, vecb=2hati+hatj and vecc=3hatj-2hatk,vecx,vec...

    Text Solution

    |

  4. If g(x) is monotonically increasing and f(x) is monotonically decreasi...

    Text Solution

    |

  5. The radius of a right circular cyliner increases at a constant rate. I...

    Text Solution

    |

  6. Let f(x)=2sin^(3)x+lamdasin^(2)x,-(pi)/2ltxlt(pi)/2. If f(x) has exact...

    Text Solution

    |

  7. The function f(x)= xcos(1/x^2) for x != 0, f(0) =1 then at x = 0, f(x)...

    Text Solution

    |

  8. a, b ,c are three unit of vectors, a and b are perpendicular to each o...

    Text Solution

    |

  9. If r=hat(i)+hat(j)+lambda(2hat(i)+hat(j)+4hat(k)) and r*(hat(i)+2hat(j...

    Text Solution

    |

  10. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  11. f: D->R, f(x) = (x^2 +bx+c)/(x^2+b1 x+c1) wherealpha,beta are the root...

    Text Solution

    |

  12. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |

  13. A multiple choice question has n options, of whlch only one is correct...

    Text Solution

    |

  14. A line makes angles alpha,beta,gammaa n ddelta with the diagonals of a...

    Text Solution

    |

  15. The plane x-y-z=2 is rotated through 90^(@) about its line of intersec...

    Text Solution

    |

  16. The volme of a tetrahedron having vertices A(1,1,1),B(1,2,4),C(3,1,-2)...

    Text Solution

    |

  17. The number of integral values of a in [0,10) so that function, f(x)=x^...

    Text Solution

    |

  18. A boy has 3 library tickets and 8 books of his interest in the library...

    Text Solution

    |

  19. If the normal to the ellipse (x^(2))/9+(y^(2))/4=1 which is farthest f...

    Text Solution

    |

  20. Find the area of the greatest isosceles triangle that can be inscri...

    Text Solution

    |