Home
Class 12
MATHS
If the four points with position vectors...

If the four points with position vectors `-2hati+hatj+hatk,hati+hatj+hatk,hatj-hatk` and `lamdahatj+hatk` are coplanar, then `lamda`=

A

1

B

2

C

`-1`

D

0

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2014

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|80 Videos

  • QUESTION PAPER 2016

    WB JEE PREVIOUS YEAR PAPER|Exercise MULTIPLE CHOICE QUESTIONS|75 Videos

Similar Questions

Explore conceptually related problems

Show that the vectors hati -2 hatj+3hatk , -2hati+3hatj-4hatk and hati -3hatj +5hatk are coplanar.

The vectors (29)/(3)hati-4hatj+5hatk, 2hati+mhatj+hatk and veci+2hatj+hatk are coplanar, find m.

If the vectors vec a=2hati-hatj+hatk, vec b=hati+mhatj-3hatk and vec c =3hati-4hatj+5hatk are coplanar, then find m.

If veca=hati+3hatj+hatk, vecb=2hati-hatj-hatk and vec c=m hati+7hatj+3hatk are coplanar, then the value of m is -

Find a set of vectors reciprocal to the set -hati+hatj+hatk,hati-hatj+hatk,hati+hatj+hatk

For what value of a, the vectors 2hati-3hatj+4hatk and a hati-6hatj+8hatk are collinear ?

find the projection of the vector hati-3hatj-7hatk on the vector 7hati-hatj-8 hatk

Angle between the vectors hati +hatj and hati-hatk is

The position vectors of the points A, B, C and D are hati+3hatj-hatk, -hati-hatj+hatk, 2hati-3hatj+3hatk and -3hati+2hatj+hatk respectively. Then, the ratio of the moduli of the vectors vec(AB) and vec(CD) is -

Show that the points A(-2hati+3hatj+5hatk),B(hati+2hatj+3hatk)andC(7hati-hatk) are collinear.

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2015-MULTIPLE CHOICE QUESTIONS
  1. If f(x)=|(1,x,x+1),(2x,x(x-1),(x+1)x),(3x(x-1),x(x-1)(x-2),(x+1)x(x-1)...

    Text Solution

    |

  2. Which of the following is not always true?

    Text Solution

    |

  3. If the four points with position vectors -2hati+hatj+hatk,hati+hatj+ha...

    Text Solution

    |

  4. If sin^(-1)(x-(x^(2))/(2)+(x^(3))/(4)-(x^(4))/(8)+......)=(pi)/(6) whe...

    Text Solution

    |

  5. The area of the region bounded by the curve y=x^(3), its tangent at (1...

    Text Solution

    |

  6. If log(0.2)(x-1)gtlog(0.04)(x+5) then

    Text Solution

    |

  7. The number of real roots of equation log(e)x+ex=0

    Text Solution

    |

  8. For all real values of a(0),a(1),a(2),a(3) satisfying a(0)+(a(1))/(2)+...

    Text Solution

    |

  9. Let f:RtoR be defined as f(x)={{:(0","," is irrational"),(sin|x|","," ...

    Text Solution

    |

  10. If the vertex of the conic y^(2)-4y=4x-4a always lies between the stra...

    Text Solution

    |

  11. Number of intersecting points of the conic 4x^(2)+9y^(2)=1 and 4x^(2)+...

    Text Solution

    |

  12. The value of lamda for which the straight line (x-lamda)/(3)=(y-1)/(2+...

    Text Solution

    |

  13. if f:[0,pi//)toR is defined as f(theta)=|(theta,tantheta,1),(-tantheta...

    Text Solution

    |

  14. If A and B are two matrices such that AB=B and BA=A then A^(2)+B^(2) e...

    Text Solution

    |

  15. If omega is an imaginary cube root of unity, then the value of the det...

    Text Solution

    |

  16. The value of 2cot^(-1)""(1)/(2)-cot^(-1)""(4)/(3) is

    Text Solution

    |

  17. If the point (2costheta,2sintheta), for thetain(0,2pi) lies in the reg...

    Text Solution

    |

  18. Number of points having distance sqrt5 from the straight line x-2y+1=0...

    Text Solution

    |

  19. Let a,b, c, d be any four real number. Then a^(n)+b^(n)=c^(n)+d^(n) ho...

    Text Solution

    |

  20. If alpha,beta are the roots of x^(2)-px+1=0 and gamma is a root of x^...

    Text Solution

    |