Home
Class 12
MATHS
Find the unit vector in the direction of...

Find the unit vector in the direction of diagonal of the parallelogram whose sides are given by the vectors ` vec a= 2 hat i- hat j-3hat k', vec b=5 hat i+2hat j- hatk `

Promotional Banner

Topper's Solved these Questions

  • Probability

    JMD PUBLICATION|Exercise EXAMPLE|58 Videos

  • RELATION & FUNCTIONS

    JMD PUBLICATION|Exercise EXERCISE|21 Videos

Similar Questions

Explore conceptually related problems

Find the area of the parallelogram whose adjacent sides are given by vectors vec a= 3 hat i+ hat j+ 4 hat k and vec b= hat i- hat j+ hat k .

Find the area of the parallelogram whose adjacent sides are determined by the vectors vec a = hat i - hat j+ 3 hat k and vec b = 2hat i - 7hat j+ hat k

Find vec a* vec b if vec a=3 hat i+4 hat j-2 hat k and vec b=-2 hat i+ 2 hat j + hat k

Determine the area of the parallelogram whose adjacent sides are the vectors hat i- 3 hat j+ hat k and hat i+ hat j+ hat k .

Find |vec a xx vec b| , if vec a = 2hat i-5 hat j+3 hat k and vec b = hat i-2 hat j +2 hat k .

Find vec a* vec b if vec a= 2 hat i+ hat k and vec b= hat i+hat j+hat k

Find a vector of magnitude 5 units, and parallel to the resultant of the vectors vec a =2 hat i+3 hat j- hat k and vec b= hat i-2 hat j+hat k .

Find the volume of the Parallelopiped whose coterminous edges are represented by the vectors vec a = 2 hat i- 3 hat j + 4 hat k, vec b= hat i +2 hat j- hat k and vec c = 3 hat i -hat j +2 hat k .

Find the sine of the angle between the vectors vec a =3 hat i+hat j+2 hat k and vec b =2hat i-2 hat j+4 hat k .

Find | vec axx vec b| , if vec a= hat i-7 hat j+7 hat k and vec b=3 hat i-2 hat j+2 hat kdot

JMD PUBLICATION-PSEB SAMPLE QUESTIONS-EXAMPLE
  1. If '[[2,3],[1,4]]' and 'f(x)=x^2+2x+3' then fond 'f(A)'.

    Text Solution

    |

  2. Find the interval in which function 'f(x)=x^2+2x-7' is increasing.

    Text Solution

    |

  3. Find the slope of the normal to the curve y=x^3-x+1 at the point whose...

    Text Solution

    |

  4. Evaluate int e^x (logx+1/x)dx.

    Text Solution

    |

  5. Evaluate 'int x sin x dx'

    Text Solution

    |

  6. Using integration find the area bounded by the parabola 'y^2=4x' strai...

    Text Solution

    |

  7. Find the unit vector in the direction of diagonal of the parallelogram...

    Text Solution

    |

  8. find the value of 2tan^(-1)(1/sqrt3) + Cos^(-1)(1/sqrt2)+2sec^(-1)(2/s...

    Text Solution

    |

  9. lf y = x^(sin x) + (sin x)^x then find dy/dx.

    Text Solution

    |

  10. If y=[tan^-1 x]^2, then prove that : (x^2 + 1)^2 y2+2x(x^2+1) y1 = 2.

    Text Solution

    |

  11. Evaluate int sec^2x/(tan^2x-4tanx+7) dx.

    Text Solution

    |

  12. find the general solution of the differential equation {x^2dy-(x^2+xy+...

    Text Solution

    |

  13. find the general solution of the differential equation sec^2xtanydx-se...

    Text Solution

    |

  14. Bag I contains 3 red and 4 white balls. Bag II contents 7 red and 5 wh...

    Text Solution

    |

  15. solve the following system of linear equation by Matrix method: 2x+3y-...

    Text Solution

    |

  16. Express A= [[2,3,,5],[0,2,,9],[3,2,,8]]as the sum of a symmetric matri...

    Text Solution

    |

  17. find the shortest distance between the lines vecr=6hati-hatj+3hatk+lam...

    Text Solution

    |

  18. find the foot of perpendicular drawn from the point (2,-3,5) on the pl...

    Text Solution

    |

  19. solve the following linear programming problem graphically: Maximize ...

    Text Solution

    |

  20. solve the following linear programming problem graphically: maximize a...

    Text Solution

    |