Home
Class 11
MATHS
Find lambda in order that the four point...

Find `lambda` in order that the four points `A(3,2,1), B(4, lambda,5),C(4,2,-2) and D(6,5,-1)` be coplanar.

Text Solution

Verified by Experts

The correct Answer is:
5
Promotional Banner

Topper's Solved these Questions

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 4.1 (LONG ANSWER QUESTIONS)|14 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise ADDITIONAL EXERCISE|6 Videos

  • MULTIPLE PRODUCT OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - 4.1 (VERY SHORT ANSWER QUESTIONS)|14 Videos

  • MULTIPLE & SUBMULTIPLE ANGLES

    AAKASH SERIES|Exercise PRACTICE EXERCISE|68 Videos

  • PAIR OF STRAIGHT LINES

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|15 Videos

Similar Questions

Explore conceptually related problems

The value of k for which the points A (1,0,3), B (-1,3,4) C (1,2,1) and D(k,2,5) are coplanar is

The coplanar points (3,2,1 ), (5,6,5),(2,1,2 )(0,-3,-2 ) from a

Show that the points A(-1, -2), B(4, 3), C(2, 5) and D(- 3, 0) in that order form a rectangle.

Find the point equlidistant from the four points (-1, 1, 3), (2, 1, 2), (0, 5, 6) and (3, 2, 2).

The coplanar points (3,2,5) , (2,1,1),(-1,4,1 ),(0,5,5) form a

The coplanar points (1,2,4 ),(-2,2,1 ), (2,4,-3 ) ,(5,4,0) form

The coplanar points (1,2,2 ) ,(2,-1 , 0) ,(1,1,3 ),(0,4,5, ) from a

Find the equation of the plane passing through the point A=(2,3,-1),B=(4,5,2),C=(3,6,5).

AAKASH SERIES-MULTIPLE PRODUCT OF VECTORS-EXERCISE - 4.1 (SHORT ANSWER QUESTIONS)
  1. Find t, for which the vectors 2bar(i) - 3bar(j) + bar(k), bar(i) + 2ba...

    Text Solution

    |

  2. For non - coplanar vectors bara,barb and barc determine p for which th...

    Text Solution

    |

  3. If bara,barb,barc are non-coplanar vectors, prove that points with pos...

    Text Solution

    |

  4. Show that the four points -bara+ 4barb - 3barc, 3bara +2barb-5barc,-3b...

    Text Solution

    |

  5. Prove that the four points 4bari + 5barj +bark, - (barj + bark) , 3b...

    Text Solution

    |

  6. Find lambda in order that the four points A(3,2,1), B(4, lambda,5),C(4...

    Text Solution

    |

  7. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

    Text Solution

    |

  8. Let bara be perpendicular to both barb,barc. If |bara|=2, |barb|=3, |b...

    Text Solution

    |

  9. Let bara=bari-bark, barb=xbari + barj+(1-x)bark and c-ybari+xbarj+(1+x...

    Text Solution

    |

  10. If bara=(1,-1,-6),barb=(1,-3,4) and barc(-2,-5,3) then compute baraxx(...

    Text Solution

    |

  11. i) Show that barixx(baraxxbari)+barjxx(baraxxbarj)+barkxx(baraxxbark...

    Text Solution

    |

  12. Show that 3 vectors baraxx(barb xxbarc),barb xx(barcxxbara), barc xx (...

    Text Solution

    |

  13. If barabarbbarc are three unit vectors such that baraxx(barbxxbarc)=1/...

    Text Solution

    |

  14. If bara,barb and barc are non zero non-collinear vectors and theta(ne0...

    Text Solution

    |

  15. Show that i) baraxx(baraxx(baraxxbarb))=(bara.bara)(barbxxbara) ii...

    Text Solution

    |

  16. If the four vectors a,b,c,d are coplanar, then (a xx b) xx (c xx d) =

    Text Solution

    |

  17. Prove that [barbxxbarc barcxxbara baraxxbarb]=[bara barb barc]^(2...

    Text Solution

    |

  18. If (barbxxbarc)xx(barcxxbara)=3barc, then find [barbxxbarc barcxxbar...

    Text Solution

    |

  19. If bara=2bari+barj-bark,barb=-bari+2barj-4bark,barc=bari+barj+bark the...

    Text Solution

    |

  20. If bara,barb,barc,bard are four vectors, then show that (baraxxbarb).(...

    Text Solution

    |