Home
Class 12
MATHS
(d) answer any one question : (i) if the...

(d) answer any one question : (i) if the three vectors `vec a, vec b, vec c= 0` are such that `vec a+vec b+vec c= vec 0 and |vec a|=3 ,|vec b |=4 , |vec c|=5`, then show that `vec a. vec b +vec b . vec c + vec c. vec a = -25`

Promotional Banner

Topper's Solved these Questions

  • HIGHER SECONDARY EXAMINATION 2020.

    UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

  • HIGHER SECONDARY QUESTION 2019

    UNITED BOOK HOUSE|Exercise EXERCISE|40 Videos

Similar Questions

Explore conceptually related problems

The vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + vec ( c ) = vec(0) . If |vec(a)| = 3 , |vec(b)|= 4 and |vec(c )|= 5 , show that vec(a).vec(b) +vec(b) .vec(c ) + vec (c ) . vec(a) = - 25

If vec a+ vec b+ vec c = vec 0 then prove that vec axx vec b= vec bxx vec c = vec cxxvec a .

If vec axx vec b= vec cxx vec da n d vec axx vec c= vec bxx vec d , then show that vec a- vec d , is parallel to vec b- vec c

If vec a, vec b, vec c are unit vectors satisfying the condition veca+ vec b+ vec c= 0 then show that vec a. vec b+ vec b.vec c+ vec c. vec a= -3//2 .

Three vectors vec(a),vec(b),vec (c ) are such that vec(a) + vec(b) + vec(c ) = vec(0) , if |vec(a)| = 1 |vec(b)| = 4 and |vec(c )|= 2 , then find the value of mu = (vec(a).vec(b) +vec(b).vec(c ) + vec(c ).vec(a))

If vec a,vec b, vec c be three vectors such that vec a+vec b+vec c=0 , |veca|=3 , |vecb|=5 and |vecc|=7 find the angle between the vectors veca and vec b .

If vec axx vec b= vec cxxvec d and vec axxvec c= vec bxxvec d, vec a ne vec d, vec b ne vec c then show that vec b- vec c is parallel to vec a-vec d

If vec a , vec b , and vec c are three vectors such that vec axx vec b= vec c , vec bxx vec c= vec a , vec cxx vec a= vec b , then prove that | vec a|=| vec b|=| vec c| .

If | vec a|+| vec b|=| vec c| and vec a+ vec b= vec c , then find the angle between vec a and vec bdot

If vec(a) + vec(b) + vec (c ) = vec(0) , show that vec(a) xx vec(b) = vec(b) xx vec(c ) = vec(c ) xx vec(a)

UNITED BOOK HOUSE-HIGHER SECONDARY QUESTION 2018-EXERCISE
  1. verify lagrange's mean value of theorem in the interval 4lexle6 for fu...

    Text Solution

    |

  2. int (e^x (1+x))/(cos^2(xe^x)) dx is

    Text Solution

    |

  3. (d) answer any one question : (i) if the three vectors vec a, vec b, v...

    Text Solution

    |

  4. answer any one question : (ii) find the equation of the plane passing ...

    Text Solution

    |

  5. e) answer any one question : (i) if P(A/B)=0.8 , P(B/A)=0.6 and P(A^c ...

    Text Solution

    |

  6. answer any one question : (ii) an unbiased coin is tossed 6 times . Us...

    Text Solution

    |

  7. A relation R is defined on the set of natural numbers N as follows: R=...

    Text Solution

    |

  8. answer any one question : (ii) prove that , tan(pi/4 +1/2 (cos ^(-1) (...

    Text Solution

    |

  9. (b) answer the foll. Questions: (i) express the matrix A=[[3,2,3],[4,5...

    Text Solution

    |

  10. if |[x-1,1,1],[1,x+1,-1],[-1,1,x+1]| =0 , find the value of x.

    Text Solution

    |

  11. answer the foll. Questions: (i) if y=(sin^(-1)x)/(sqrt(1-x^2)) , then ...

    Text Solution

    |

  12. or,find the derivatives of tan^(-1) ((sqrt(1+x^2)-1)/x) with respect t...

    Text Solution

    |

  13. answer the foll. Questions: (ii)evaluate :int (x^4+1)/(x^6+1) dx

    Text Solution

    |

  14. or, evaluate :int dx/(cos x+sqrt 3 sin x)

    Text Solution

    |

  15. answer the foll. Question: (iii) solve : x dy/dx = y+x tan (y/x) , giv...

    Text Solution

    |

  16. or , solve:(1-x^2) dy/dx - xy=1 .

    Text Solution

    |

  17. (d) answer any one question : (i) if three vectors vec a, vec b and ve...

    Text Solution

    |

  18. answer any one question : (ii) let vec a= hat i+4 hat j+ 2hat k , vec...

    Text Solution

    |

  19. Evaluate lim(n->oo)[1^2/(n^3+1^3) + 2^2/(n^3+2^3) +3^2/(n^3+3^3)+…+1...

    Text Solution

    |

  20. answer any one question : (ii) evaluate : int0^pi (x sin x)/(1+cos ^2x...

    Text Solution

    |