Home
Class 12
MATHS
Find lambda if the vectors hat(i) - ...

Find ` lambda ` if the vectors ` hat(i) - hat(j) + hat(k) , 3 hat (i) + hat(j) + 2 hat(k) and lambda hat(j) - 3 hat(k)` are coplanar

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    OMEGA PUBLICATION|Exercise MULTIPLE CHOICE QUESTIONS (MCQs) |20 Videos
  • THREE DIMENSIONAL GEOMETRY

    OMEGA PUBLICATION|Exercise Questions |72 Videos

Similar Questions

Explore conceptually related problems

Prove that the vectors 2 hat i- hat j+ hat k , hat i- 3 hat j- 5 hat k and 3 hat i- 4 hat j- 4 hat k are coplanar.

Show that the vectors hat(i)-hat(j)-6hat(k),hat(i)-3hat(j)+4hat(k)and2hat(i)-5hat(j)+3hat(k) are coplanar.

Find λ if the vectors hat i-hat j+ hat k, 3 hat i+ hat j+ 2 hat k and hat i+ λ hat j- 3 hat k are coplanar.

Find λ if the vectors vec a = hat i+3 hat j +hat k, vec b=2 hat i- hat j- hat k and vec c=λ hat j+3 hat k are coplanar.

Find the angle between the vectors hat i -2 hatj +3 hat k and 3 hat i -2 hat j +hat k .

Show that the vectors 2hat(i)-hat(j)+hat(k) and hat(i)-3hat(j)-5hat(k) are at right angles.

If the vectors ahat(i)+hat(j)+hat(k), hat(i)+bhat(j)+hat(k), hat(i)+hat(j)+chat(k) , where a, b, c are coplanar, then a+b+c-abc=

Show that the points A(-2 hat i+ 3 hat j + 5 hat k) , B(hat i+ 2 hat j+ 3 hat k) and C(7 hat i-hat k) are collinear.

OMEGA PUBLICATION-SAMPLE QUESTION PAPER -QUESTIONS
  1. Solve: x^(2)(dy)/(dx) =x^(2) -2y^(2)+xy

    Text Solution

    |

  2. I.F. of x (dy)/(dx) + y = x log x is .......................

    Text Solution

    |

  3. Find lambda if the vectors hat(i) - hat(j) + hat(k) , 3 hat (i) + ...

    Text Solution

    |

  4. Find the equation of the plane through the intersection of the planes ...

    Text Solution

    |

  5. One card is drawn at random from a well shuffled deck of 52 cards. If...

    Text Solution

    |

  6. From a lot of 30 bulbs which include 6 defectives, a sample of 4 bulbs...

    Text Solution

    |

  7. Let E and F be events with P(E)=3/5, P(F)=3/10 and P (E cap F)=1/5. Ar...

    Text Solution

    |

  8. Solve the following system of linear equations by matrix method : x - ...

    Text Solution

    |

  9. A man of height 2m walks at a uniform speed of 5km/h away from a lamp...

    Text Solution

    |

  10. Find the equation of the tangent line to the curve y = x^2 - 2x + 7, w...

    Text Solution

    |

  11. Find the area of smaller region bounded by the ellipse x^2/9 + y^2/4 =...

    Text Solution

    |

  12. Using integration find the area of regeion bounded by the triangle who...

    Text Solution

    |

  13. Find the shortest distance between the lines given by vec(r) = 3 hat(...

    Text Solution

    |

  14. Find the co-ordinates of the point where the line through the points A...

    Text Solution

    |

  15. Solve the following linear programming problem graphically: Maximise...

    Text Solution

    |

  16. The principal value of sin^(-1)(sin""(2pi)/3) is .......

    Text Solution

    |

  17. If D = [a(ij)](mxxn) is a rectangular matrix, then

    Text Solution

    |

  18. The derivative of a^x is

    Text Solution

    |

  19. Find the rate of change of area of the circle with respect to its ...

    Text Solution

    |

  20. Evaluate : int (dx)/(x^2-6x+13).

    Text Solution

    |