Home
Class 12
MATHS
If the vectors vec a + vec b + vec c, ve...

If the vectors `vec a + vec b + vec c, vec a + lambda vec b + 2 vec c, - vec a + vec b + vec c` are linearly dependent then `lambda`

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 the vectors vec a+vec b+vec c,vec a+lambdavec b+2vec c,-vec a+vec b+vec c are linearly dependent then lambda

[vec a + vec b, vec b + vec c, vec c + vec a] = 2 [vec a, vec b, vec c]

[[vec a + vec b-vec c, vec b + vec c-vec a, vec c + vec a-vec b is equal to

Let vec a, vec b, vec c be three nonzero vectors such that vec a + vec b + vec c = vec 0 and lambdavec b xxvec a + vec b xxvec c + vec c xxvec a = 0 then lambda is

For any three vectors vec a, vec b, vec c, (vec a-vec b) * (vec b-vec c) xx (vec c-vec a) is equal to

For any three vectors vec a;vec b;vec c find [vec a+vec b;vec b+vec c;vec c+vec a]

Given four vectors vec a, vec b, vec c, vec d such that vec a + vec b + vec c = alphavec d, vec b + vec c + vec d = betavec a and that vec a, vec a, vec b, vec c are non-coplanar, then the sum vec a + vec b + vec c + vec d is

Let lambda = vec a xx (vec b + vec c), vec mu = vec b xx (vec c + vec a) and vec nu = vec c xx (vec a + vec b). Then

Show that vectors vec a,vec b,vec c are coplanar if vec a+vec b,vec b+vec c,vec c+vec a are coplanar.

Show that the vectors vec a,vec b and vec c are coplanar if vec a+vec b,vec b+vec c and vec c+vec a are coplanar.

RESONANCE DPP-JEE MAINS-All Questions
  1. Three positive numbers from an increasing G.P. If the middle term i...

    Text Solution

    |

  2. int(1+2x^(2)+(1)/(x))e^(x^(2)-(1)/(x))dx is equal to

    Text Solution

    |

  3. If the vectors vec a + vec b + vec c, vec a + lambda vec b + 2 vec c, ...

    Text Solution

    |

  4. The image of the line (x-1)/3=(y-3)/1=(z-4)/(-5) in the plane 2x-y+...

    Text Solution

    |

  5. Let matrix B=[4 1-9-2], then which of the following will not be an ...

    Text Solution

    |

  6. Find the derivative of f(tanx) w.r.t. g(secx) at x=pi/4 , where f^(pri...

    Text Solution

    |

  7. f(x) = 1 + [cosx]x in 0 leq x leq pi/2 (where [.] denotes greatest in...

    Text Solution

    |

  8. The number of real roots of the equation x^5+e^(8x)=0 is (1)0 (2) ...

    Text Solution

    |

  9. The total number of selection of letters "ned needs nineteen nets" is ...

    Text Solution

    |

  10. Find the value of sum(p=1)^n(sum(m=p)^n^n Cm^m Cp)dot And hence, find ...

    Text Solution

    |

  11. The tangent at a point P on a curve meets x-axis in A. If area of t...

    Text Solution

    |

  12. The position vectors of points A, B, C are respectively hat i- hat j-...

    Text Solution

    |

  13. If the planes x-cy-bz=0, cx-y+az=0 and bx+ay-z=0 pass through a line, ...

    Text Solution

    |

  14. In a triangle OAC, if B is the mid point of side AC and vec O A= vec ...

    Text Solution

    |

  15. C is the complex numbers f: CvecR is defined by f(z)=|z^3-z+2|dot The ...

    Text Solution

    |

  16. Find the number of points where the function f(x)=max|tanx|,cos|x|) is...

    Text Solution

    |

  17. If (1+x+x^2)^n=a0+a1x+a2x^2++a(2n)x^(2n), find the value of a0+a3+a6+...

    Text Solution

    |

  18. Let there are three points A (0, 4/3), B(–1, 0) and C(1, 0) in x – y p...

    Text Solution

    |

  19. Let f(x) be an increasing function defined on (0,oo) . If f(2a^2+a+1)>...

    Text Solution

    |

  20. Let f(x) be a differentiable function satisfying f(y)f(x/y)=f(x) AA, x...

    Text Solution

    |