Home
Class 12
MATHS
The volume of the tetrahedron whose vert...

The volume of the tetrahedron whose vertices are the points with positon vectors `hati-6hatj+10hatk, -hati-3hatj+7hatk, 5hati-hatj+hatk` and `7hati-4hatj+7hatk` is 11 cubic units if the value of `lamda` is

A

-1

B

1

C

-7

D

5

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Level-2 Single Correct Answer Type Questions)|32 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Numerical Answer Type Questions)|18 Videos
  • VECTOR ALGEBRA

    MCGROW HILL PUBLICATION|Exercise EXERCISE (Concept -Based Single Correct Answer Type Questions)|10 Videos
  • TRIGONOMETRICAL IDENTITIES AND EQUATIONS

    MCGROW HILL PUBLICATION|Exercise Questions from Previous Years. B-Architecture Entrance Examination Papers|20 Videos

Similar Questions

Explore conceptually related problems

The volume of the tetrahedronwhose vertices are the points with position vectors hati-5hatj+10hatk, -hati-3hatj+7hatk, 5hati-hatj+lamdahatk and 7hati-4hatj+7hatk is 11 cubic units then the value of lamda is (A) 7 (B) 1 (C) -7 (D) -1

The points with position vectors alpha hati+hatj+hatk, hati-hatj-hatk, hati+2hatj-hatk, hati+hatj+betahatk are coplanar if

Show that the points with position vectors hati+2hatj+7hatk, 2hati+6hatj+3hatk and 3hati+10hatj-hatk are collinear

The volume of the tetrahedron whose vertices are the points hati, hati+hatj, hati+hatj+hatk and 2hati+3hatj+lamdahatk is 1//6 units, Then the values of lamda

Three vectors 7hati-11hatj+hatk, 5hati+3hatj-2hatk and 12hati-8hatj-hatk forms

Find the direction cosines of the resultant of the vectors (hati+hatj+hatk),(-hati+hatj+hatk),(hati-hatj+hatk) and (hati+hatj-hatk) .

Find the scalar triple product of vectors hati+2hatj+3hatk, -hati-hatj+hatk and hati+hatj+hatk .

The area of the triangle having vertices as hati-2hatj+3hatk,-2hati+3hatj-hatk,4hati-7hatj+7hatk is

Find the scalar triple product vectors hati+2hatj+3hatk, hati-hatj+hatk and hati+hatj+hatk .

MCGROW HILL PUBLICATION-VECTOR ALGEBRA-EXERCISE (Level-1 Single Correct Answer Type Questions)
  1. If unit vectors veca and vecb are inclined at an angle 2 theta such th...

    Text Solution

    |

  2. For non-coplanar vectors a, b and c, abs((a times b)*c)=abs(a) abs(b) ...

    Text Solution

    |

  3. The volume of the tetrahedron whose vertices are the points with posit...

    Text Solution

    |

  4. The vectors (x,x+1,x+2),(x+3,x+3,x+5) and (x+6,x+7,x+8) are coplanar f...

    Text Solution

    |

  5. A vector oflength sqrt7 which is perpendicul to 2bar j -bar k and -ba...

    Text Solution

    |

  6. Let abs(a)=abs(b)=2" and "p=a+b, q=a-b. If abs(p times q)=2(k-(a.b)^(2...

    Text Solution

    |

  7. IF r.a = 0, r. b = 0 and r. c= 0 for some non-zero vector r. Then, the...

    Text Solution

    |

  8. If the position vectors of three consecutive vertices of any parallelo...

    Text Solution

    |

  9. The volume of the parallelopiped whose sides are given by overset(...

    Text Solution

    |

  10. The value of abs(a times i)^(2)+abs(a times j)^(2)+abs(a times k)^(2) ...

    Text Solution

    |

  11. If a, b and c are any three vectors, then a times (b times c)=(a times...

    Text Solution

    |

  12. ixx(a times i)+j times(a times j)+k times(a times k) is always equal t...

    Text Solution

    |

  13. The value of [a times b, b times c, c times a] is

    Text Solution

    |

  14. Given vectors a = (3, -1, 5) and b = (1, 2, -3). A vector c which is p...

    Text Solution

    |

  15. Area of the parallelogram on the vectors a + 3b and 3a + b if abs(a)=a...

    Text Solution

    |

  16. If a=x""i+5j+7k, b=i+j-k, c=i+2j+2k are coplanar then the value of x i...

    Text Solution

    |

  17. If a*(b times c)=3 then

    Text Solution

    |

  18. Let a=2i+2j+k and b be another vector such that a*b=14" and "a times b...

    Text Solution

    |

  19. ABCDEF is a regular hexagon with centre a the origin such that vec(AB)...

    Text Solution

    |

  20. A non zero vector veca is parallel to the kine of intersection of the ...

    Text Solution

    |