Home
Class 12
MATHS
Let veca and vecb be two unit vector and...

Let `veca` and `vecb` be two unit vector and `alpha` be the angle between them and `veca+vecb` is unit vector. Find `alpha`.

Promotional Banner

Topper's Solved these Questions

  • MATRICES DETERMINANTS PROBABILITY

    USHA PUBLICATION|Exercise EXERCISE|59 Videos
  • PRACTICE PAPER

    USHA PUBLICATION|Exercise PRACTICE PAPER|95 Videos

Similar Questions

Explore conceptually related problems

When vecR = vecA xx vecB what is the angle between vecR and vecB ?

Find the angle between veca and vecb if |vecaxxvecb| = veca.vecb

What is angle between vector vecA and -vecA ?

If veca=2vecb and vecc=-3vecb , then what is the angle between veca and vecc ?

If veca and vecb are unit vectors such that vecaxxvecb is a unit vector, then the angle between veca and vecb is ____

If |veca +vecb| = |veca|+|vecb| then what is the angle between veca andvec b

If abs(veca+vecb)=abs(veca-vecb) then what is the angle between veca and vecb ?

What is the angle between veca and vecb if abs(veca+vecb)=abs(veca-vecb) ?

USHA PUBLICATION-MODEL QUESTION SET-MODEL QUESTION SET
  1. Find the value of a and b if the function given below is continuous. ...

    Text Solution

    |

  2. If y=(sinx)^(tanx), find frac[dy][dx]

    Text Solution

    |

  3. If y=log[x+sqrt(x^(2)+1)], then prove that (x^(2)+1)(d^(2)y)/(dx^(2))+...

    Text Solution

    |

  4. Prove that all normals to the curve x = a cos t + at sin t, y = a sin ...

    Text Solution

    |

  5. If y=(tan^(-1)x)^2 then show that (x^2+1)^2 (d^2y)/(dx^2)+2x(x^2+1)((d...

    Text Solution

    |

  6. Find intsec^3xdx

    Text Solution

    |

  7. int0^(pi/2)sin2x log(tanx)dx

    Text Solution

    |

  8. Solve (1+x^2)frac[dy][dx]+2xy-4x^2=0 subject to the initial condition ...

    Text Solution

    |

  9. Evaluate: intfrac[x+3][sqrt(5-4x+x^2)]dx

    Text Solution

    |

  10. If with reference to the eight handed system of mutually perpendicular...

    Text Solution

    |

  11. Let veca and vecb be two unit vector and alpha be the angle between th...

    Text Solution

    |

  12. Find the distance between the two planes 2x+3y+4z=4 and 4x+6y+8z=12.

    Text Solution

    |

  13. Solve for x: cot^(-1)(x-1)+cot^(-1)(x-2)+cot^(-1)(x-3)=0

    Text Solution

    |

  14. Show that sin^(-1)frac[12][13]+cos^(-1)frac[4][5]+tan^(-1)frac[63][16]...

    Text Solution

    |

  15. Prove that the following. [[a,b,c],[a^2,b^2,c^2],[bc,ca,ab]]=(b-c)(c-a...

    Text Solution

    |

  16. It is given that for the function f given by f(x)=x^(3)+bx^(2)+ax,x in...

    Text Solution

    |

  17. If x = (1-cos^2 theta)/(cos theta), y = (1-cos^(2n)theta)/(cos^n theta...

    Text Solution

    |

  18. Evaluate int0^(frac[pi][2])sin2xcdotlog(tanx)dx

    Text Solution

    |

  19. Evaluate int(sqrt(tan x)+sqrt(cot x))dx

    Text Solution

    |

  20. Prove by vector method that the medians of a triangle are concurrent.

    Text Solution

    |