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

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 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.

RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x)=3/4x+1,f^n(x)b ed efin e da sf^2(x)=f(f(x)),a n dforngeq2,f^(...

    Text Solution

    |

  2. (log)3(1-1/3)+(log)3(1+1/4)+(log)3(1+1/5)++(log)3(1+1/(242)) when simp...

    Text Solution

    |

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

    Text Solution

    |

  4. Simplify: 5^(1/((log)7 5))+1/(sqrt(-(log)(10)(0. 1)))3

    Text Solution

    |

  5. If p,q in N and 0,1bar2=p/q where p and q are relatively prime then id...

    Text Solution

    |

  6. If (log)a b=2,(log)b c=2,a n d(log)3c=3+(log)3a , then the value of c/...

    Text Solution

    |

  7. The point Q is the image of the P in line x + y+ 4= 0 and R is the ima...

    Text Solution

    |

  8. Consider the following statements (i) The sum of a rational number ...

    Text Solution

    |

  9. sqrt(5-log2x)=3-log2x

    Text Solution

    |

  10. If x satisfies the inequality log(x+3) (x^2-x) < 1 then x may belong t...

    Text Solution

    |

  11. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  12. one vertex of the triangle of maximum area that can be inscribed in th...

    Text Solution

    |

  13. Solve the following inequations log3((1+ 2x)/(1+x))<1

    Text Solution

    |

  14. A tangent is drawn at any point P (t) on the parabola y^2 = 8x and on ...

    Text Solution

    |

  15. Find the real value of m for which the substitution y=u^m will transfo...

    Text Solution

    |

  16. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  17. Number of integral solutions of the equation (log)(x-3)((log)(2"x"^2-2...

    Text Solution

    |

  18. A wet porous subtance in the open air loses its moisture at a rate pro...

    Text Solution

    |

  19. Let A={varphi{varphi},1,{1,varphi},2}dot Which of the following are tr...

    Text Solution

    |

  20. If ^n Pr=720a n d^n Cr=120 ,t h e nr to a. 3 b. 4 c. 5 d. 6

    Text Solution

    |