Home
Class 12
MATHS
Find x such that the four points A(3,2,1...

Find x such that the four points A(3,2,1)B(4,x,5),C(4,2,-2)and D(6,5-1)are coplanar.

Promotional Banner

Topper's Solved these Questions

  • THREE DIMENSTIONAL GEOMETRY

    A N EXCEL PUBLICATION|Exercise QUESTION BANK|97 Videos

Similar Questions

Explore conceptually related problems

Prove that the points (2,4,4),(1,5,4),(2,6,2)and (0,6,4) are coplanar.

Find the value of lambda if the points. A(-1,4,-3),B(3, lamda,-5),C(-3,8,-5) and D(-3,2,1) are coplanar.

If A, B, C, D are the points (3,4,5),(4,6,3),(-1,2,4) and (1,0,5) , find the angle between C D and A B

If the co-ordinates of the points A, B, C, D be (1,2,3),(4,5,7) (-4,3,-6) and (2,9,2) respectively, then find the angle between the lines AB and CD

Find x and y satisfying the matrix equation [(x-y,2,-2),(4,x,6)] + [(3,-2,2),(1,0,-1)] = [(6,0,0),(5,2x+y,5)]

Find the equation of the planes that pass through the points.. (1, 1, -1), (6, 4, -5), (-4, -2, 3)

Find the equation of the plane passing through the points (3,-1,2) , (5,2,4) ,(-1,-1,6)

Show that the line AB is perpendicular CD if A,B,C,D are the points (2,3,4),(5,4,-1),(3,6,2),(1,2,0) respectively.

The nearest point on the line x + y - 3 = 0 from the point (3, -2) is a)(3, 5) b)(4, 1) c)(3, -5) d)(4, -1)

Given the vertices A(2,-1,4), B(3,2,-6) and C(-5,0,2) of a triangle ABC Find the mid point of BC

A N EXCEL PUBLICATION-VECTOR ALGEBRA-QUESTION BANK
  1. Letveca=overset^^i+overset^^j+overset^^k,vecb=overset^^i "and " vecc=c...

    Text Solution

    |

  2. Show that the four points with position vectors4overset^^i+8overset^^j...

    Text Solution

    |

  3. Find x such that the four points A(3,2,1)B(4,x,5),C(4,2,-2)and D(6,5-1...

    Text Solution

    |

  4. If veca,vecb,veccare coplanar,prove that veca+vecb,vecb+vecc,vecc+veca...

    Text Solution

    |

  5. Find the volume of the following parallelo-piped whose the coterminal ...

    Text Solution

    |

  6. Find the volume of the following parallelo-piped whose the coterminous...

    Text Solution

    |

  7. Find the value of lambdaif the points. A(-1,4,-3),B(3, lamda,-5),C(-3,...

    Text Solution

    |

  8. Write down a unit vector in XY plane making an angle of 30^@ with the...

    Text Solution

    |

  9. Find the scalar components and magnitude of the vector joining the poi...

    Text Solution

    |

  10. A girl walks 4km towards west, then she walks 3 km in a direction 30^@...

    Text Solution

    |

  11. If veca=vecb+vecc,then is it true that |veca|=|vecb|+|vecc|? Justify y...

    Text Solution

    |

  12. Find the value of x for which x(overset^^i+overset^^j+overset^^k) is a...

    Text Solution

    |

  13. Find a vector of magnitude 5 units and parallel to the resultant of th...

    Text Solution

    |

  14. Show that the points A(1,-2,-8),B(5,0,-2)andC(11,3,7)are collinear and...

    Text Solution

    |

  15. Find the position vector of a point R which divides the line joining t...

    Text Solution

    |

  16. The two adjacent sides of a parallelogram are 2overset^^i-4overset^^j+...

    Text Solution

    |

  17. Show that the direction cosines of a vector equally inclined to the ax...

    Text Solution

    |

  18. Let" "veca=overset^^i+4overset^^j+2overset^^k, vecb=3overset^^i-2overs...

    Text Solution

    |

  19. The scalar product of the vector overset^^i+overset^^j+overset^^k with...

    Text Solution

    |

  20. If veca, vecb, vecc are mutually perpendicular vectors of equal magnit...

    Text Solution

    |