Home
Class 12
MATHS
If vec xa n d vec y are two non-colline...

If ` vec xa n d vec y` are two non-collinear vectors and a, b, and c represent the sides of a ` A B C` satisfying `(a-b) vec x+(b-c) vec y+(c-a)( vec xxx vec y)=0,` then ` A B C` is (where ` vec xxx vec y` is perpendicular to the plane of `xa n dy` ) a. an acute-angled triangle b. an obtuse-angled triangle c. a right-angled triangle d. a scalene triangle

A

acute angled

B

obtuse angled

C

right angled

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSIGNMENT -OBJECTIVE|84 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise ASSERTION - REASONING|8 Videos
  • MATHEMATICS TIPS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|21 Videos
  • MATHEMATICS

    FIITJEE|Exercise NUMERICAL DECIMAL BASED QUESTIONS|15 Videos
  • MATRICES

    FIITJEE|Exercise NUMERICAL BASED|3 Videos

Similar Questions

Explore conceptually related problems

If vec x and vec y are two non-collinear vectors and ABC is a triangle with side lengths a,b and c satisfying (20a-15b)vec x+(15b-12c)vec y+(12c- 20a) vec x xxvec y is:

If vec x andvec y are two non-collinear vectors and a triangle ABC with side lengths a,b,c satisfying (20a-15b)vec x+(15b-12c)vec y+(12c-20a)(vec x xx vec y) = vec0 . Then triangle ABC is:

If vec x and vec y are two non-collinear vectors and ABC isa triangle with side lengths a,b, and satisfying (20a-15b)vec x+(15b-12c)vec y+(12c-20a)(vec xxvec y)=0 then triangle ABC is a.an acute-angled triangle b.an obtuse- angled triangle c.a right-angled triangle d.an isosceles triangle

veca , vec b , vec c are non-coplanar vectors and x vec a + y vec b + z vec c = vec 0 then

If vec a,vec b,vec c represent the sides of a triangle taken in order,then write the value of vec a+vec b+vec *

If vec b and vec c be any two non-collinear vectors,and vec a be any vector then (vec a*vec b)vec b+(vec a*vec c)vec c+(vec a*(vec b xxvec c))/(|vec b xxvec c|^(2))(vec b xxvec c) is equal to

If vec b and vec c be any two non-collinear vectors,and vec a be any vector then (vec a*vec b)vec b+(vec a*vec c)vec c+(vec a*(vec b xxvec c))/(|vec b xxvec c|^(2))(vec b xxvec c) is equal to

vec a,vec b and vec c are the position vectors of points A,B and C respectively,prove that: vec a_(vec a)xvec b+vec bxvec c+vec cxvec a is vector perpendicular to the plane of triangle ABC.

If vec(b) and vec(c) are two non-collinear vectors such that vec(a) || (vec(b) xx vec(c)) , then (vec(a) xx vec(b)).(vec(a) xx vec(c)) is equal to

If a vector vec a is perpendicular to two non- collinear vector vec b and vec c ,then vec a is perpendicular to every vector in the plane of vec b and vec c.

FIITJEE-MATHEMATICS TIPS-ASSIGNMENT (SECTION (I) : MCQ (SINGLE CORRECT)
  1. If the vectors ahati+hatj+hatk, hati+bhatj+hatk, hati+hatj+chatk(a!=1,...

    Text Solution

    |

  2. let vec b = 4 hat i + 3 hat jLet vec c be a vector perpendicular to ve...

    Text Solution

    |

  3. If vec xa n d vec y are two non-collinear vectors and a, b, and c ...

    Text Solution

    |

  4. If a makes the same angle alpha, with the lines vec( r )=lambda(hati+h...

    Text Solution

    |

  5. A plane meets the coordinate axes at A, B, C such that the centroid of...

    Text Solution

    |

  6. The direction cosines of two lines are related by l + m + n = 0 and al...

    Text Solution

    |

  7. Projection of the line x+y+z-3=0=2x+3y+4z-6 on the plane z=0 is

    Text Solution

    |

  8. The distance of the point (1,-2,3) from the plane x-y+z=5 measured par...

    Text Solution

    |

  9. (l(1),m(1),n(1)),(l(2),m(2),n(2)),(l(3),m(3),n(3)) are the direction c...

    Text Solution

    |

  10. A plane a constant distance p from the origin meets the coordinate axe...

    Text Solution

    |

  11. The equations to the straight line through (a, b, c) parallel to the z...

    Text Solution

    |

  12. if the lines (x-1)/2=(y-1)/3=(z-1)/4 and (x-3)/2=(y-k)/1=z/1 intersect...

    Text Solution

    |

  13. The shortest distance between a diagonal of a cube, of edge-length one...

    Text Solution

    |

  14. The planes x=cy+bz,y=az+cx,z=bx+ay intersect in a line if (a+b+c)^(2) ...

    Text Solution

    |

  15. A square ABCD of diagonal length 2a, is folded along the diagonal AC s...

    Text Solution

    |

  16. "Let "plambda^(4) + qlambda^(3) +rlambda^(2) + slambda +t =|{:(lambda^...

    Text Solution

    |

  17. The solution set of the equation |{:(1,4,20),(1,-2,5),(1,2x,5x^(2)):}|...

    Text Solution

    |

  18. The system of equations lambdax+y+z=0,-x+lambday+z=0,-x-y+lambdaz=0 wi...

    Text Solution

    |

  19. If alpha, beta, gamma are the roots of x^(3) + ax^(2) + b = 0, then th...

    Text Solution

    |

  20. Number of solutions of Re(z^(2))=0 and |Z|=a sqrt(2), where z is a com...

    Text Solution

    |