Home
Class 12
MATHS
If u,v,w are three nonceplannar vectors ...

If u,v,w are three nonceplannar vectors then (u + v - w), (u - v) `xx` (v - w) =

A

0

B

`u. v xx w`

C

`u. w xx v`

D

`3u. V xx w`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -A|13 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 2 (Special Type Questions) SET -B|9 Videos

  • PRODUCTS OF VECTORS

    DIPTI PUBLICATION ( AP EAMET)|Exercise Exercise 1B Cross Product of Vectors|73 Videos

  • PROBABILITY

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET-4|5 Videos

  • PROPERTIES OF TRIANGLES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) Set-4|10 Videos

Similar Questions

Explore conceptually related problems

If u,v,w are non-coplanar vectors and p,q are real numbers, then the equality [3u pv pw] - [pv w qw] - [2w qv qu] = 0 holds for

Explain the terms in the formula v = u + at.

Let u,v,w be such that |u| = 1, |v| = 2, |w| = 3. If the projection v along u is equal to that w along u and v,w are prependicular to each other then |u - v + w| =

If cos^(-1)(x)+cos^(-1)(y)+cos^(-1)(z)=pi(sec^(2)(u)+sec^(4)(v)+sec^(6)(w)) , where u, v, w are least non-negative angles such that u lt v lt w , then the value of x^(2000)+y^(2002)+z^(2004)+(36pi)/(u+v+w) is

If vec(u) and vec(v) are unit vectors and theta is the acute between them, then 2 vec(u) xx 3vec(v) is a unit vector for

Verify the correctness of the equations v = u + at .

If u, v and w are functions of x, then show that (d)/(dx)(u.v.w) = (du)/(dx) v.w+u. (dv)/(dx).w+u.v(dw)/(dx) in two ways-first by repeated application of product rule, second by logarithmic differentiation.

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. (a - b) . (b - c) xx (c - a) =

    Text Solution

    |

  2. C. (b + c) xx (a + b + c) =

    Text Solution

    |

  3. If u,v,w are three nonceplannar vectors then (u + v - w), (u - v) xx (...

    Text Solution

    |

  4. If a,b,c are three vectors such that [abc]=5, then the value of [a×bb×...

    Text Solution

    |

  5. If a,b,c are linearly independent, then ([2a + b 2b + c. 2c + a])/([a ...

    Text Solution

    |

  6. If a,b,c are linearly independent, ((a + 2b). (2b + c) xx (5c + a))/(a...

    Text Solution

    |

  7. Let a,b and C be three non - coplanar vectors and let p,q and r be the...

    Text Solution

    |

  8. If the vectors 2i - 3j + 4k, I + 2j - k and xi - j + 2k are coplanar t...

    Text Solution

    |

  9. If the vectors 2i - j + k, I + mj. I + j + k are coplannar then the va...

    Text Solution

    |

  10. If the three vectors 2i - j + k, I + 2j - 3k and 3i + lambda j + 5k ar...

    Text Solution

    |

  11. If I - 2j, 3j + k and lambda I + 3j are coplanar. Then lambda=

    Text Solution

    |

  12. If I + j + k, I - j, I + 2j + ak are coplanar then a is

    Text Solution

    |

  13. If 3i + 3j + sqrt(3) k, I + k, sqrt(3) I + sqrt(3) lambda k are coplan...

    Text Solution

    |

  14. If a,b,c are non-coplanar vectors and lambda is a real number, then th...

    Text Solution

    |

  15. Let a = I + j + k, b = I - j + 2k and c = xi + (x - 2) j - k. If the v...

    Text Solution

    |

  16. Let a = I - 2j + 3k, b = 2i + 3j - k and c = lambda I + j + (2 lambda ...

    Text Solution

    |

  17. If the vectors ai + j + k, I + bj + k, I + j + ck (a != b, c != 1) are...

    Text Solution

    |

  18. Let a,b,c the distinct non-negative numbers. If the vectors ai + aj + ...

    Text Solution

    |

  19. If a = i + j + k, b = 4i + 3j + 4k, c = i + alpha j + beta k are linea...

    Text Solution

    |

  20. If the volume of the parallelopiped whose edges are represented by 12i...

    Text Solution

    |