Home
Class 12
MATHS
The vectors 2i - 3j + k, I - 2j + 3k, 3i...

The vectors `2i - 3j + k, I - 2j + 3k, 3i + j - 2k`

A

are linearly dependent

B

are linearly independent

C

form sides of a triangle

D

are coplanar

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • EAMCET - 2016 AP

    DIPTI PUBLICATION ( AP EAMET)|Exercise Questions|80 Videos
  • ELLIPSE

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 SET - 2|1 Videos

Similar Questions

Explore conceptually related problems

If the vectors 2i -- 3j + 4k, I + 2j - k, xi - j + 2k are coplanar then x = 8/5

If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar then x =

A : The vector equation of the plane passing through I + j + k and parallel to the vectors 2i + 3j - k, I + 2j + 3k is [r - (I + j + k) 2i + 3j - k I + 2j + 3k] = 0 R : The vector equation of the plane passing through the point a and parallel to the vectors b,c is [r - a b c] = 0

If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k are coplanar then lambda =

A : The vector equation of the plane passing through the point 2i + 2j - 3k and parallel to the vectors 3i + 3j - 5k, i + 2j + k is r = 2i + 2j - 3k + s(3i + 3j - 5k) + t(i + 2j + k) R : The vector equation of the plane passing through the points a, b, c is r = (1 - s - t) a + sb + tc

The volume of the parallelopiped with edges 2i - 4j + 5k, I - j + k, 3i - 5j + 2k is -8

The volume of the parallelopiped whose coterminal edges are 2i - 3j + 4k, I + 2j - 2k, 3i - j + k is

If the position vectors of the vertices of a triangle are 2i - j + k, i - 3j - 5k, 3i - 4j - 4k then it is

DIPTI PUBLICATION ( AP EAMET)-EAMCET - 2016 TS-Questions
  1. If a,b,c are unit vectors satisfying the relation a + b+sqrt(3) c = 0,...

    Text Solution

    |

  2. a, b, c are three vectors such that |a| = 1, |b| = 2, |c| = 3 and b, c...

    Text Solution

    |

  3. The vectors 2i - 3j + k, I - 2j + 3k, 3i + j - 2k

    Text Solution

    |

  4. ABCD is a parallelogram and P is themid point of the side AD. The line...

    Text Solution

    |

  5. If ABCDEF is a regular hexagon with centre O , then P.T bar(AB)+bar(A...

    Text Solution

    |

  6. In Delta ABC, if 2R + r = r(2) then angleB =

    Text Solution

    |

  7. In Delta ABC, if 8R^(2) = a^(2) + b^(2) + c^(2), then the triangle is ...

    Text Solution

    |

  8. If Delta ABC is such that angleA = 90^(@), angleB != angleC, then (b^(...

    Text Solution

    |

  9. For theta in (0, (pi)/(2)). Sec h^(-1)(cos theta) =

    Text Solution

    |

  10. The value of x which satisfies sin(Cot^(-1) x) = cos(Tan^(-1) + (1+x))...

    Text Solution

    |

  11. If f(x) = cos^(2) x + cos^(2) 2x + cos^(2) 3x, then the number of val...

    Text Solution

    |

  12. If cos x + cos y + cos alpha = 0 and sin x + sin y + sin alpha = 0, th...

    Text Solution

    |

  13. (cos 13^(@) - sin 13^(@))/(cos 13^(@) + sin 13^(@)) + (1)/(cot 148^(@)...

    Text Solution

    |

  14. If f(x) = x^(2) - 2x + 4 then the set of values of x satisfying f(x - ...

    Text Solution

    |

  15. The number of real linear functions f(x) satisfying f(f(x)) = x + f(x)...

    Text Solution

    |

  16. The remainder when 7^(n) - 6n - 50 (n in N) is divided by 36, is

    Text Solution

    |

  17. Consider the system of equations ax + by + cz = 2 bx + cy + az = 2...

    Text Solution

    |

  18. Suppose A and B are two square matrices of same order. If A, B are sym...

    Text Solution

    |

  19. A(x)=|{:(x+1,2x+1,3x+1),(2x+1,3x+1,x+1),(3x+1,x+1,2x+1):}|" then "int(...

    Text Solution

    |

  20. If z = x + iy is complex number such z^(1-//3) = a+ib , then the valu...

    Text Solution

    |