Home
Class 12
MATHS
A particle has an angular speed of 3 ...

A particle has an angular speed of 3 rad/s and the axis of rotation passes through the points `(1,1,2)a n d(1,2,-2)dot` Find the velocity of the particle at point `P(3,6,4)dot`

Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS FOR COMPOUND, MULTIPLE, SUB-MULTIPLE ANGLES, AND TRANSFORMATION FORMULAS

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|6 Videos
  • VECTORS TRIPLE PRODUCTS, RECIPROCAL SYSTEM OF VECTORS

    CENGAGE PUBLICATION|Exercise DPP 2.4|20 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the line passing through the points (1,2,3)a n d(-1,0,4)dot

A rigid body is spinning about a fixed point (3,-2,-1) with an angular velocity of 4 rad/s, the axis of rotation being in the direction of (1,2,-2). Find the velocity of the particle at point (4,1,1).

Find the equation of the line Passing through the points (-1, 1) " and " (2, - 4) .

Find the equation of the plane which passes through the points (1,2,3),(2,3,1) and (3,1,2)

Find the slope of the lines : Passing through the points (3, -2) " and " (-1, 4)

Find the equation of the plane which passes through the points (1,2,3) ,(2,3,1) and (3,1,2).

Find the equation of the plane passing through the points (3,1,1), (1-2,3) and parallel to y-axis.

Find the equation of the parabola which has its axis along the x -axis and passes through the points (3,2) and (-2,-1) .

Find the equation of the plane passing through the points (1,0,-1)a n d(3,2,2) and parallel to the line x-1=(1-y)/2=(z-2)/3dot

Find the equation of the plane which passes through the point (1,2,3) and which is at the minimum distance from the point (-1,0,2)dot

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. Prove that ( vec a.hat i)( vec axx hat i)+( vec a.j)( vec axx hat j)+(...

    Text Solution

    |

  2. If ( vec axx vec b)^2+( vec a.vec b)^2=144 and | vec a|=4, then find t...

    Text Solution

    |

  3. A particle has an angular speed of 3 rad/s and the axis of rotation...

    Text Solution

    |

  4. Find the moment of vec F about point (2, -1, 3), where force vec ...

    Text Solution

    |

  5. Given | vec a|=| vec b|=1a n d| vec a+ vec b|=sqrt(3). If vec c is a ...

    Text Solution

    |

  6. Let vec a=a1 hat i+a2 hat j+a3 hat k , vec b=b1 hat i+b2 hat j+b3 hat...

    Text Solution

    |

  7. Statement 1: vec a , vec b ,a n d vec c are three mutually perpendi...

    Text Solution

    |

  8. If the volume of a parallelepiped whose adjacent edges are vec a=2...

    Text Solution

    |

  9. Prove that [ vec l vec m vec n][ vec a vec b vec c]=| (vec l. vec a, v...

    Text Solution

    |

  10. Using dot product of vectors, prove that a parallelogram, whose dia...

    Text Solution

    |

  11. If a+2b+3c=4, then find the least value (to the nearest integer) of ...

    Text Solution

    |

  12. In any triangle A B C , prove the projection formulaa=b cosC+c cosB ...

    Text Solution

    |

  13. Prove that an angle inscribed in a semi-circle is a right angle usi...

    Text Solution

    |

  14. If vec a.hat i= vec a.( hat i+ hat j)= vec a.( hat i+ hat j+ hat k) ...

    Text Solution

    |

  15. Prove by vector method that cos(A+B)=cos AcosB-sinAsinBdot

    Text Solution

    |

  16. If the scalar projection of vector x hat i- hat j+ hat k on vector 2...

    Text Solution

    |

  17. If vec a=x hat i+(x-1) hat j+ hat k and vec b=(x+1) hat i+ hat j+a ha...

    Text Solution

    |

  18. A unit vector a makes an angle pi/ 4 with z-axis. If a + i + j is a un...

    Text Solution

    |

  19. if veca, vecb and vecc are there mutually perpendicular unit vectors a...

    Text Solution

    |

  20. If vec a , vec b , and vec c be non-zero vectors such that no two ...

    Text Solution

    |