Home
Class 12
MATHS
If a=hat(i)-2hat(j)+hat(k), b=hat(i)+3ha...

If `a=hat(i)-2hat(j)+hat(k), b=hat(i)+3hat(j)-2hat(k), c=2hat(i)+hat(j)-hat(k) " and "d=hat(i)+hat(j)+hat(k)`, then the volume (in cubic units) of the tetrahedron having `(a times b) times c, b, d` as its coterminuous edges is

A

`15/2`

B

90

C

`21/2`

D

`66/5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • AP EAMCET SOLVED PAPER 2019

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise MATHEMATICS|58 Videos
  • ONLINE QUESTION PAPER

    TS EAMCET PREVIOUS YEAR PAPERS|Exercise Mathematics|80 Videos

Similar Questions

Explore conceptually related problems

Let a = 2hat(i) - 3hat(j) + 4hat(k), b = hat(i) + 2hat(j) - 2hat(k) and c = 3hat(i) - hat(j) + hat(k) . The valume (in cubic units of the parallelopiped having a + b + c, a - b + c and a + b -c as coterminus edges is

If 2hat(i) - hat(j) + 3 hat(k),-12hat(i)-hat(j)- 3hat(k),-hat(i)+2hat(j)-4hat(k)and lambdahat(i)+2hat(j)-hat(k) are the position vectors of four coplanar points,then lambda=

If a=2hat(i)-3hat(j)+5hat(j)," " b=3hat(i)-4hat(j)+5hat(k)andc=5hat(i)-3hat(j)-2hat(k) , then the volume of the parallelpiped with contermiouns edges a+b, b+c, c+a, is

If vec(P)=2hat(i)+3hat(j)-4hat(k)andvec(Q)=5hat(i)+2hat(j)+4hat(k) . Find the angle between the two vectors.

TS EAMCET PREVIOUS YEAR PAPERS-AP EAMCET SOLVED PAPER 2019 (22-04-2019, SHIFT-2)-MATHEMATICS
  1. Let a, b, c be three non-coplanar vectors and a^(')=(b times c)/([abc]...

    Text Solution

    |

  2. Let a, b, c be three non-coplanar vectors. Let S(i)(i=1, 2, 3, 4, 5, 6...

    Text Solution

    |

  3. If a=hat(i)-2hat(j)+hat(k), b=hat(i)+3hat(j)-2hat(k), c=2hat(i)+hat(j)...

    Text Solution

    |

  4. The mean deviation of the data 3, 5, 11, 13, 17, 19, 23, 29 about its ...

    Text Solution

    |

  5. If the weights of 10 persons (in kgs) are observed as : 45, 49, 55, 50...

    Text Solution

    |

  6. If two dice are rolled at a time, then the probability of getting an o...

    Text Solution

    |

  7. If A and B are two events of a random experiment such that P(bar(A))=0...

    Text Solution

    |

  8. A speaks truth in 4 out of 5 times. A die is tossed. If A reports that...

    Text Solution

    |

  9. Let S = {1, 2, 3,…., 50} and A(k) be the set of multiples of k in S fo...

    Text Solution

    |

  10. If X is a Poisson variate such that P(X=2)=9P(X=4), then the mean and ...

    Text Solution

    |

  11. Let P be the point (4, 1) and Q be its image in the line y = x. If Q i...

    Text Solution

    |

  12. The normal form of the line x+y+1=0 is

    Text Solution

    |

  13. The vetices of a triangle are O(0, 0), B(-3, -1), C(-1, -3). The equat...

    Text Solution

    |

  14. A variable line passing through a fixed point (alpha,beta) intersects ...

    Text Solution

    |

  15. If A is the orthocentre of the triangle formed by 2x^(2)-y^(2)=0, x+y-...

    Text Solution

    |

  16. The distance between the pair of lines represented by x^(2)+2sqrt(2)...

    Text Solution

    |

  17. The number of integers alpha, for which a chord of the circle x^(2)+y^...

    Text Solution

    |

  18. If the line x-6y-12=0 meets the circle S equiv x^(2)+y^(2)-4x+8y+6=0 a...

    Text Solution

    |

  19. A circle of radius 5 units passes through A(-5, 0) and B(5, 0). If P(5...

    Text Solution

    |

  20. The condition that the circles which passes through the points (0,a),(...

    Text Solution

    |