Home
Class 12
MATHS
The volume of a right triangular prism A...

The volume of a right triangular prism ABC`A_(1)B_(1)C_(1)` is equal to 3 cubic unit. Then the co-ordinates of the vertex `A_(1)`,if the co-ordinates of the base vertices of the prism are A(1,0,1), B(2,0,0) and C(0,1,0), are

A

(2, 2, 2)

B

(0, 2, 0)

C

(0, -2, 2)

D

(0, -2, 0)

Text Solution

Verified by Experts

The correct Answer is:
A, D
Promotional Banner

Topper's Solved these Questions

  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-3 : Comprehension Type Problems|13 Videos
  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos
  • VECTOR & 3DIMENSIONAL GEOMETRY

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|13 Videos
  • TRIGONOMETRIC EQUATIONS

    VK JAISWAL ENGLISH|Exercise Exercise-5 : Subjective Type Problems|9 Videos

Similar Questions

Explore conceptually related problems

Find the co-ordinates of the orthocentre of a triangle whose vertices are (3,-1) , (-1,2) and (0,0) .

The volume of a right triangular prism ABCA_1B_1C_1 is equal to 3. If the position vectors of the vertices of thebase ABC are A(1, 0, 1), B(2,0, 0) and C(O, 1, 0) , then position vectors of the vertex A_1 , can be

Find the co-ordinates of the centroid of a triangle ABC whose vertices are : A(-1, 3), B(1, -1) and C(5, 1)

Calculate the co-ordinates of the centroid of the triangle ABC, if A = (7, -2), B = (0, 1) and C = (-1, 4).

The vertices of a triangle ABC are A(0, 0), B(2, -1) and C(9, 2) , find cos B .

The co-ordinates of the vertices of a DeltaABC are A(1, 0) , B(3, 6) and C(3, 2) . Find the length of its medians.

Find the lengths of the medians of a A B C having vertices at A(0,\ -1),\ \ B(2,\ 1) and C(0,\ 3) .

The co-ordinates of three vertices of a parallelogram ABCD are A(1,0) , B(3,4) and C(1,2) . The co-ordinates of fourth vertex D are :

In the given figure, ABC is an equilateral triangle with co-ordinates of B and C as B(-3, 0) and C(3, 0). The co-ordinates of the vertex A are

The co-ordinates of the vertices of a parallelogram ABCD are A(-1,2,3), B(2, -4,1) and C(1,2,-1). Find the co-ordinates of its 4th vertex.

VK JAISWAL ENGLISH-VECTOR & 3DIMENSIONAL GEOMETRY-Exercise-2 : One or More than One Answer is/are Correct
  1. If equation of three lines are : (x)/(1)=(y)/(2)=(z)/(3), (x)/(2)=...

    Text Solution

    |

  2. If veca=hati+6hatj+3hatk, vecb=3hati+2hatj+hatk and vec c=(alpha+1)hat...

    Text Solution

    |

  3. Consider the lines : L(1): (x-2)/(1)=(y-1)/(7)=(z+2)/(-5) L(2):x-4...

    Text Solution

    |

  4. Let hata, hatb and hatc be three unit vectors such that hata=hatb+(h...

    Text Solution

    |

  5. The value(s) of mu for which the straight lines vecr=3hati-2hatj-4hatk...

    Text Solution

    |

  6. If hati xx [ (veca-hatj) xxhati]+ hatj xx [(veca - hatk)xx hatj] +hatk...

    Text Solution

    |

  7. [vecaxx vecb " " vecc xx vecd " " vecexx vecf] is equal to (a)[veca...

    Text Solution

    |

  8. If veca,vecb,vecc & vecd are position vector of point A,B,C and D resp...

    Text Solution

    |

  9. veca and vecc are unit vectors and |vecb|=4 the angle between veca and...

    Text Solution

    |

  10. Consider the lines x=y=z and line 2x+y+z-1=0=3x+y+2z-2, then

    Text Solution

    |

  11. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  12. If (veca xx vecb) xx (vec c xx vecd)=h veca+k vecb=r vec c+s vecd, wh...

    Text Solution

    |

  13. Let a be a real number and vec alpha = hati +2hatj, vec beta=2hati+a h...

    Text Solution

    |

  14. The volume of a right triangular prism ABCA(1)B(1)C(1) is equal to 3 c...

    Text Solution

    |

  15. If veca=xhati + y hatj + zhatk, vecb= yhati + zhatj + xhatk and vecc=...

    Text Solution

    |

  16. If a line has a vector equation, vecr=2hati +6hatj+lambda(hati-3hatj) ...

    Text Solution

    |

  17. Let M,N, P and Q be the mid points of the edges AB, CD, AC and BD resp...

    Text Solution

    |

  18. The solution vectors vecr of the equation vecr xx hati=hatj+hatk and v...

    Text Solution

    |

  19. The lines with vector equations are, vecr(1)=3hati+6hatj+lambda(-4hat...

    Text Solution

    |