Home
Class 12
MATHS
If bar(a),bar(b),bar(c ) are mutually pe...

If `bar(a),bar(b),bar(c )` are mutually perpendicular unit vectors, then find `[bar(a)bar(b)bar(c )]^(2)`.

A

1

B

0

C

2

D

3

Text Solution

Verified by Experts

The correct Answer is:
A
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 bar(a), bar(b), bar(c) are linearly independent vectors, then show that bar(a)-3bar(b)+2bar(c), 2bar(a)-4bar(b)-bar(c), 3bar(a)+2bar(b)-bar(c) are linearly independent.

i) bar(a), bar(b), bar(c) are pairwise non zero and non collinear vectors. If bar(a)+bar(b) is collinear with bar(c) and bar(b)+bar(c) is collinear with bar(a) then find the vector bar(a)+bar(b)+bar(c) . ii) If bar(a)+bar(b)+bar(c)=alphabar(d), bar(b)+bar(c)+bar(d)=betabar(a) and bar(a), bar(b), bar(c) are non coplanar vectors, then show that bar(a)+bar(b)+bar(c)+bar(d)=bar(0) .

i) If bar(a), bar(b), bar(c) are non coplanar vectors, then prove that the vectors 5bar(a)-6bar(b)+7bar(c), 7bar(a)-8bar(b)+9bar(c) and bar(a)-3bar(b)+5bar(c) are coplanar.

If bar(a), bar(b), bar(c) are non coplanar then the vectors bar(a)-2bar(b)+3bar(c), -2bar(a)+3bar(b)-4bar(c), bar(a)-3bar(b)+5bar(c) are

If bar(a)=2bar(i)-3bar(j)+5bar(k),bar(b)=-bar(i)+4bar(j)+2bar(k) , then find (bar(a)+bar(b))xx(bar(a)-bar(b)) and unit vector perpendicular to both bar(a)+bar(b)andbar(a)-bar(b)

If bar(a), bar(b), bar(c) are non coplanar, show that the vectors bar(a)+2bar(b)-bar(c), 2bar(a)-3bar(b)+2bar(c), 4bar(a)+bar(b)+3bar(c) are linearly independent.

bar(a), bar(b) , bar(c ) are pair wise non zero and non collinear vectors. If bar(a) + bar(b) is collinear with bar(c ) and bar(b) + bar(c ) is collinear with bar(a) then find vector bar(a) + bar(b) + bar(c ) .

If bar(a)bar(b)bar(c ) and bar(d) are vectors such that bar(a) xx bar(b) = bar(c ) xx bar(d) and bar(a) xx bar(c ) = bar(b)xxbar(d) . Then show that the vectors bar(a) - bar(d) and bar(b) -bar(c ) are parallel.

DIPTI PUBLICATION ( AP EAMET)-PRODUCTS OF VECTORS-Exercise 1C (Triple product of Vectors
  1. If u,v,w are non-coplanar vectors and p,q are real numbers, then the e...

    Text Solution

    |

  2. If x,y,z are non-zero real numbers, a = xi + 2j, b = yi + 3k and c = x...

    Text Solution

    |

  3. If bar(a),bar(b),bar(c ) are mutually perpendicular unit vectors, then...

    Text Solution

    |

  4. The volume of parallelopiped with edges I, I + j, I + j + k is

    Text Solution

    |

  5. The volume of the parallelopiped whose coterminal edges are 2i - 3j +...

    Text Solution

    |

  6. The volume of the parallelopiped whose edges are represented by 2i - 3...

    Text Solution

    |

  7. The volume of the parallelopiped with edges (2, -3, 0), (1,1, - 1), (3...

    Text Solution

    |

  8. If [a b c] = 3, then the volume (in cube units) of the parallelopiped ...

    Text Solution

    |

  9. The volume of the parallelopiped whose sides are OA = (lambda + 1) i +...

    Text Solution

    |

  10. The volume of the parallelopiped whose sides ae OA = (lambda + 2) i + ...

    Text Solution

    |

  11. Let Oa,Ob,OC be the co-terminal edges of a rectangular parallelopiped ...

    Text Solution

    |

  12. The volume of the tetrabodron with vertices at (0,0,0), (1,0,0),(0,1,0...

    Text Solution

    |

  13. The volume of the tetrahedron formed by (1,2,3), (4,3,2), (5,2,7),(6,4...

    Text Solution

    |

  14. The volume of the tetrahedron formed by 4i + 5j + k, - j + k, 3i + 9j ...

    Text Solution

    |

  15. The volume of (in cubic units) of the tetrahedron with edges I + j + k...

    Text Solution

    |

  16. If a,b,c are noncoplanner vectors then (a.(b xx c))/((c xx a). B) + (b...

    Text Solution

    |

  17. [ 2+6 -2+7 8-10] =

    Text Solution

    |

  18. If (a - lambda b) . (b - 2c) xx (c + 3a) = 0 then lambda =

    Text Solution

    |

  19. If a.i = 4 then (a . j) xx (2j - 3k) =

    Text Solution

    |

  20. {a. (b xx i)} + {a. (b xx j)} j + {a . (b xx k)} k =

    Text Solution

    |