Home
Class 12
MATHS
If a+b, b+c and c+a are coterminous edge...

If a+b, b+c and c+a are coterminous edges of a parallel opiped then its volume is

A

3[a c b ]

B

0

C

2[a b c]

D

4[b a c]

Text Solution

Verified by Experts

The correct Answer is:
C
We have a+b, b+c and c+a are coterminous edge of a parallelopiped then its volume is
[a+b b+c c+a]=2[a b c]
Promotional Banner

Topper's Solved these Questions

  • SOLVED PAPER 2018

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise MCQS|50 Videos

  • STRAIGHT LINE

    MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS|Exercise EXERCISE 2(MISCELLANEOUS PROBLEMS)|30 Videos

Similar Questions

Explore conceptually related problems

If vec a, vecb and vec c are three conterminuous edges of a parallelopiped of the volume 6 then find the value of [[vec a xx vec b, vec a xx vec c, vec b xx vec c]] .

If bar(a),bar(b),bar(c) are three coterminous edges of a parallelopiped of volume 6 then value of [bar(a)timesbar(b)quad bar(a)timesbar(c)quad bar(b)timesbar(c)]=

The volume of the parallelopiped, if a=3hati,b=5hatj and c=4hatk are coterminous edges of the parallelopiped is

If the volume of the parallelopiped with a, b and c as coterminous edges is 40 cubic units, then the volume of the parallelopiped having b+c, c+a and a+b as coterminous edges in cubic units is

If the three co-terminous edges of a paralleloP1ped are represented by overline(a)-overline(b), overline(b)-overline(c), overline(c)-overline(a) , then its volume is

If V is the volume of parallelopiped formed by the vectors vec a,vec b,vec c as three co-terminous edges is 27 cubic units,then the volume of the parallelopiped having vec alpha=vec a+2vec b-vec c,vec beta=vec a-vec b and vec gamma=vec a-vec b-vec c as three coterminous edges is

If the volume of the parallelopiped formed by the vectors veca, vecb, vecc as three coterminous edges is 27 units, then the volume of the parallelopiped having vec(alpha)=veca+2vecb-vecc, vec(beta)=veca-vecb and vec(gamma)=veca-vecb-vecc as three coterminous edges, is

MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-SOLVED PAPER 2019-MCQS
  1. The area bounded by the coordinate axes and normal to the curve y=log(...

    Text Solution

    |

  2. The value of x in (0,(pi)/(2)) satisfying the equation sin x cos x = (...

    Text Solution

    |

  3. If a+b, b+c and c+a are coterminous edges of a parallel opiped then it...

    Text Solution

    |

  4. If the c.d.f (cumulative distribution function) is given by F(x)=(x-25...

    Text Solution

    |

  5. The joint equation of pair of straight lines passing through origin an...

    Text Solution

    |

  6. The angle between lines (x-2)/(2)=(y-3)/(-2)=(z-5)/(1) and (x-2)/(1)=(...

    Text Solution

    |

  7. If the line passes through the point P(6,-1,2), Q(8,-7,2lamda) and R(5...

    Text Solution

    |

  8. The equivalent for of the statement ~(p to ~ q) is

    Text Solution

    |

  9. If A=(x in R:x^(2)-5|x|+6=0}, then n(A)= . . .

    Text Solution

    |

  10. If the function f(x)=(log(1+ax)-log(1-bx))/(x), x ne 0 is continuous a...

    Text Solution

    |

  11. The co-ordinates of the foot of perpendicular drawn from origin to the...

    Text Solution

    |

  12. int(sqrt(x^2-a^2))/x dx

    Text Solution

    |

  13. The maximum value of z=9x+11y subject to 3x+2yle12,2x+3yle12,xge0,yge0...

    Text Solution

    |

  14. int(0)^(4)(1)/(1+sqrt(x))dx=. . . .

    Text Solution

    |

  15. The number of solutions of sin^(2)theta=(1)/(2) in [0,pi] is . . .

    Text Solution

    |

  16. If p,q and r are non-zero, non-coplanar vectors then [p+q-r p-q q-...

    Text Solution

    |

  17. Which of the following equations has no solution?

    Text Solution

    |

  18. The minimum value of z=10x+25y subject to

    Text Solution

    |

  19. If f(x)=3x^(3)-9x^(2)-27x+15,t hen the maximum value of f(x) is

    Text Solution

    |

  20. Find the equation of the plane passing through the point (-1,2,1) and ...

    Text Solution

    |