Home
Class 12
MATHS
Vector vec a in the plane of vec b=2 h...

Vector ` vec a` in the plane of ` vec b=2 hat i+ hat ja n d vec c= hat i- hat j+ hat k` is such that it is equally inclined to ` vec ba n d vec d` where ` vec d= hat j+2 hat kdot` The value of` vec a` is `( hat i+ hat j+ hat k)/(sqrt(2))` b. `( hat i- hat j+ hat k)/(sqrt(3))` c. `(2 hat i+ hat j)/(sqrt(5))` d. `(2 hat i+ hat j)/(sqrt(5))`

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

Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i- hat j+ hat k is such that it is equally inclined to vec ba n d vec d where vec d= hat j+2 hat kdot The value of vec a is a. ( hat i+ hat j+ hat k)/(sqrt(2)) b. ( hat i- hat j+ hat k)/(sqrt(3)) c. (2 hat i+ hat j)/(sqrt(5)) d. (2 hat i+ hat j)/(sqrt(5))

Find vec axx vec b ,\ if\ vec a=2 hat i+ hat k\ a n d\ vec b= hat i+ hat j+ hat kdot

Find vec adot vec b when: vec a= hat i-2 hat j+ hat k\ a n d\ vec b=4 hat i-4 hat j+7 hat k

Find vec adot vec b when: vec a= hat j- hat k\ a n d\ vec b=2 hat i+3 hat j-2 hat k

Let vec a= hat i- hat j , vec b= hat j- hat ka n d vec c= hat k- hat i. If vec d is a unit vector such that vec a.vec d=0=[ vec b vec c vec d], then d equals a. +-( hat i+ hat j-2 hat k)/(sqrt(6)) b. +-( hat i+ hat j- hat k)/(sqrt(3)) c. +-( hat i+ hat j+ hat k)/(sqrt(3)) d. +- hat k

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

If vec a=3 hat i-2 hat j+ka n d vec b=2 hat i-4 hat j-3k , find | vec a-2 vec b|dot

If vec a= hat i+ hat j+ hat k ,\ vec b=2 hat i- hat j+3 hat k\ a n d\ vec c= hat i-2 hat j+ hat k find a unit vector parallel to 2 vec a- vec b+3 vec c

If vec a= hat i+ hat j+ hat ka n d vec b= hat i-2 hat j+ hat k , then find vector vec c such that vec adot vec c=2a n d vec axx vec c= vec bdot

If vec a=3 hat i+4 hat j\ a n d\ vec b= hat i+ hat j+ hat k ,\ find the value of | vec axx vec b|dot

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. In [0, 1] the Lagrange's Mean Value Theorem is not applicable to: (a) ...

    Text Solution

    |

  2. Through the vertex ' O^(prime) of the parabola y^2=4a x , variable cho...

    Text Solution

    |

  3. Vector vec a in the plane of vec b=2 hat i+ hat ja n d vec c= hat i-...

    Text Solution

    |

  4. If omega is an imaginary cube root of unity, then the value of (p+q)^3...

    Text Solution

    |

  5. Let f(x)=1/x^2 int4^x (4t^2-2f'(t))dt then find 9f'(4)

    Text Solution

    |

  6. The value of lim(ntooo)((a-1+root(n)(b))/a)^(n) (agt0,bgt0) is equal t...

    Text Solution

    |

  7. If A is the set of even natural numbers less than 8 and B in the set p...

    Text Solution

    |

  8. If z and w are two complex number such that |zw| = 1 and arg (z) - ar...

    Text Solution

    |

  9. A parabola with vertex (2, 0) and axis of symmetry parallel to the ...

    Text Solution

    |

  10. int(0)^(pi) (x)/(1+sinx)

    Text Solution

    |

  11. A point on a parabola y^2=4a x , the foot of the perpendicular from it...

    Text Solution

    |

  12. If f(x)=Asin((pix)/2)+b ,f^(prime)(1/2)=sqrt(2)a n d int0^1f(x)dx=(2A...

    Text Solution

    |

  13. The ratio of the roots of the equation x^(2)+alphax+alpha+2=0 is 2. fi...

    Text Solution

    |

  14. The circle x^2+y^2-4x-2y=11 makes equal intercepts on the lines L1: x...

    Text Solution

    |

  15. If the angle A ,Ba n dC of a triangle are in an arithmetic propression...

    Text Solution

    |

  16. Find the value of a ,b ,c such that curves y=x^2+a x+ba n dy=c x-x^2 w...

    Text Solution

    |

  17. Let G(x)=(1/(a^x-1)+1/2)F(x), where a is a positive real number not eq...

    Text Solution

    |

  18. The number of values of k for which the system of the equations (k+1)x...

    Text Solution

    |

  19. If sum(k=1)^(k=n)tan^(- 1)((2k)/(2+k^2+k^4))=tan^(- 1)(6/7), then the ...

    Text Solution

    |

  20. A B C D is a quadrilateral. E is the point of intersection of th...

    Text Solution

    |