Home
Class 12
MATHS
The projection of hati+hatj+hatk on the ...

The projection of `hati+hatj+hatk` on the whole equation is `vecr=(3+lamda)hati+(2lamda-1)hatj+3lamda hatk, lamda` being the scalar parameter is:

A

`3/(sqrt(11))`

B

`6/(sqrt(14))`

C

`6/(sqrt(11))`

D

`3/(sqrt(14))`

Text Solution

Verified by Experts

NA
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The equation vecr = lamda hati + mu hatj represents :

The Cartesian equation of the plane vecr=(1+lamda-mu)hati+(2-lamda+mu)hatj+(3-2lamda+2mu)hatk is

If veca = hati - hatj + hatk, vecb= 2 hati + hatj -hatk and vec c = lamda hati -hatj+ lamda hatk are coplanar, find the value of lamda.

Find the Cartesian equation of the following plane: vecr=(lamda-2mu)hati+(3-mu)hatj+(2lamda+mu)hatk .

If the projection of the vector hati + 2 hatj + hatk on the sum of the two vectors 2hati + 4hatj - 5hatk and -lamdahati+2hatj+ 3hatk is 1, then lamda is equal to _______

Find the shortest distance between the two lines whose vector equations are given by: vecr=(1+lamda)hati+(2-lamda)hatj+(-1+lamda)hatk and vecr=2(1+mu)hati-(1-mu)hatj+(-1+2mu)hatk

The equation of the plane containing the line vecr=hati+hatj+lamda(2hati+hatj+4hatk) is

For what values of lamda are the vectors lamdahati+2hatj+hatk,3hati+2hatj,lamda i+j are coplanar.

RESONANCE-TEST PAPERS-MATHEMATICS
  1. If y=f((2x-1)/(x^(2)+1)) and f^(')(x)=sinx^(2) then dy//dx at x=0 is

    Text Solution

    |

  2. Let veca=veci-veck,vecb=xveci+vecj+(1-x)veck and vecc=yveci+xvecj+(1+x...

    Text Solution

    |

  3. The projection of hati+hatj+hatk on the whole equation is vecr=(3+lamd...

    Text Solution

    |

  4. A plane meets the coordinate axes at A ,Ba n dC respectively such that...

    Text Solution

    |

  5. For N=50400 the number of divisor of N, which are divisible by 6, divi...

    Text Solution

    |

  6. The correct statements of the following

    Text Solution

    |

  7. A ship is fitted with three engines E1, E2, and E3,. The engines funct...

    Text Solution

    |

  8. There are n identical red balls & m identical green balls. The number ...

    Text Solution

    |

  9. Let N be the number of ways in which 10 different prizes be given to 5...

    Text Solution

    |

  10. A lot contains 50 defective and 50 non-defectivebulbs. Two bulbs are d...

    Text Solution

    |

  11. For any two events A and B in a sample space, choose the correct optio...

    Text Solution

    |

  12. The function f(x)=sqrt((a x^3+b x^2+c x+a)) ha sits non-zero local m...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. Let the unit vectors a and b be perpendicular and the unit vector c be...

    Text Solution

    |

  19. The vector equations of two lines L(1) and L(2) are respectively r=17i...

    Text Solution

    |

  20. If r=i+j+lamda(2i+j+4k) and r.(i+2j-k)=3 are the equations of a line a...

    Text Solution

    |