Home
Class 12
MATHS
Find the value of lambda so that the fou...

Find the value of `lambda` so that the four points, A, B, C and D with position vectors `4 hat i+5 hat j+ hat k ,- hat j- hat k ,3 hat i+lambda hat j+4 hat k` and `-4 hat i+4 hat j+4 hat k` respectively are coplanar.

Text Solution

AI Generated Solution

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

Show that the four points A, B, C and D with position vectors 4 hat i+5\ hat j+ hat k ,-(\ hat j+ hat k),3 hat j+9\ hat j+4 hat k\ a n d\ 4( hat i+ hat j+ hat k) , respectively are coplanar.

Find the value of lambda for which the four points with position vectors - hat j- hat k ,4 hat i+5 hat j+lambda hat k ,3 hat i+9 hat j+4 hat k and 4 hat i+4 hat j+4 hat k are coplanar.

Find the value of lambda for which the four points with position vectors hat j- hat k ,\ 4 hat i+5 hat j+lambda hat k ,\ 3 hat i+9 hat j+4 hat k\ a n d-4 hat i+4 hat j+4 hat k are coplanar.

Find the value of lambda for which the four points with position vector 3 hat i-2 hat j- hat k ,2 hat i+3 hat j-4 hat k ,- hat i+ hat j+2 hat k and4 hat i+5 hat j+lambda hat k are coplanar.

Show that the four points with position vectors 4 hat i+8 hat j+12 hat k ,\ 2 hat i+4\ hat j+6 hat k ,3 hat i+5\ hat j+4 hat k\ a n d\ 5 hat i+8\ hat j+5 hat k are coplanar.

The four points whose position vector are 6 hat i - 7 hat j,16 hat i - 29 hat j - 4 hat k, 3 hat j - 6 hat k, 2 hat i + 5 hat j + 10 hat k are coplanar

Show that the four points having position vectors 6 hat i-7 hat j ,16 hat i-19 hat j-4 hat k ,3 hat j-6 hat k ,2 hat i-5 hat j+10 hat k are coplanar.

Show that the points A, B and C with position vectors, veca=3 hat i-4 hat j-4 hat k , vecb=2 hat i- hat j+ hat k and vecc= hat i-3 hat j-5 hat k respectively form the vertices of a right angled triangle.

If three points A, B and C with position vectors hat(i) + x hat(j) +3 hat(k) , 3 hat(i) + 4 hat(j) + 7hat( k) and y hat(i) - 2 hat(j) - 5 hat(k) respectively are collinear, then (x,y) =

Show that the point A , B and C with position vectors vec a =3 hat i - 4 hat j -4 hat k vec b = 2 hat i j + hat k and vec c = hat i - 3 hat j - 5 hat k , respectively form the vertices of a right angled triangle.

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If vec a= hat i+ hat j+ hat k , vec c= hat j- hat k , vec adot vec b...

    Text Solution

    |

  2. The number of ordered quadruples (a1,a2,a3,a4) of positive odd integer...

    Text Solution

    |

  3. Find the value of lambda so that the four points, A, B, C and D wit...

    Text Solution

    |

  4. If vec a , vec b ,a n d vec c are three non-coplanar non-zero vec...

    Text Solution

    |

  5. A six-faced dice is so biased that it is twice as likely to show an ev...

    Text Solution

    |

  6. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  7. In a multiple choice question, there are four alternative answers of w...

    Text Solution

    |

  8. Find the sum of integers from 1 to 100 that are divisible by 2 or 5...

    Text Solution

    |

  9. The equation |{:((1+x)^(2),(1-x)^(2),-(2+x^(2))),(2x+1,3x,1-5x),(x+1,2...

    Text Solution

    |

  10. The equation of tangent drawn to the curve y^(2)-2x^(3)-4y+8=0 from th...

    Text Solution

    |

  11. If A and B are two sets, then A nn (A uu B) equals (A-B)uu(B-A)uu(AnnB...

    Text Solution

    |

  12. Let P be any point on the curve x^(2//3)+y^(2//3)=a^(2//3). Then the...

    Text Solution

    |

  13. Let R be a relation defined on the set of natural numbers N as R={...

    Text Solution

    |

  14. A lamp of negligible height is placed on the ground l1 away from a wal...

    Text Solution

    |

  15. If sinx+sin^2x=1," then the value of "cos^12x+3cos^10x+3cos^8x+cos^6x-...

    Text Solution

    |

  16. Value of (1-(cos61^0)/(cos1^0))*(1-(cos62^0)/(cos2^0))*(1-(cos63^0)/(c...

    Text Solution

    |

  17. e^(2x)-(a-1)e^x-a ge 0 AA x in R then the value of a will satisfy

    Text Solution

    |

  18. about to only mathematics

    Text Solution

    |

  19. If t a nalpha=5/2, tanbeta=-7/9 where alpha in [pi/2,pi] , then alph...

    Text Solution

    |

  20. Draw the graphs of y=|x+2|-|x-3|

    Text Solution

    |