Home
Class 12
MATHS
A vector has component A1, A2a n dA3 in ...

A vector has component `A_1, A_2a n dA_3` in a right -handed rectangular Cartesian coordinate system `O X Y Zdot` The coordinate system is rotated about the x-axis through an angel `pi//2` . Find the component of `A` in the new coordinate system in terms of `A_1, A_2, a n dA_3dot`

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

The coordinate of the projection of the point (2,1,3) on the x-axis is

A vector oversetrarra has components 2p and 1 with respect to a rectangular Cartesian system, this system is rotated through a certain clockwise sense, if we write the new system oversetrarr a has components (p+1) and 1 then

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

In a triangle ABC, coordinates of A are (1,2) and the equations of the medians through B and C are x+y=5 and x=4 respectively. Find the coordinates of B and C.

The axes of coordinates are rotated about the z-axis through an angle of pi//4 in the anticlockwise direction and the components of a vector are 2sqrt2, 3sqrt2, 4 . Prove that the components of the same vector in the original system are -1, 5, 4 .

If the midpoints of the sides of a triangle are (2,1),(-1,-3),a n d(4,5), then find the coordinates of its vertices.

Find the sum of the coefficients in the expansion of (1+2x+3x^2+ n x^n)^2dot

A ray of light start from P(1,2) , reflect on x-axis at A and hence passing through Q(5,3) find the coordinates of A.

The axes are rotated through an angle pi//3 in the anticlockwise direction with respect to (0,0) . Find the coordinates of point (4,2) (w.r.t. old coordinate system) in the new coordinates system.

CENGAGE PUBLICATION-VECTOR ALGEBRA-All Questions
  1. If vectors vec a= hat i+2 hat j- hat k , vec b=2 hat i- hat j+ hat k ...

    Text Solution

    |

  2. Find the values of lambda such that x ,y ,z!=(0,0,0) and ( hat i+ hat ...

    Text Solution

    |

  3. A vector has component A1, A2a n dA3 in a right -handed rectangular Ca...

    Text Solution

    |

  4. The position vectors of the point A ,B ,C and D are 3 hat i-2 hat j- h...

    Text Solution

    |

  5. Let O A C B be a parallelogram with O at the origin andO C a diagonal....

    Text Solution

    |

  6. In a triangle A B C ,Da n dE are points on B Ca n dA C , respectivley,...

    Text Solution

    |

  7. Prove by vector method that the line segment joining the mid-points...

    Text Solution

    |

  8. If the resultant of two forces is equal in magnitude to one of the ...

    Text Solution

    |

  9. The axes of coordinates are rotated about the z-axis through an angle ...

    Text Solution

    |

  10. Prove that the sum of three vectors determined by the medians of a ...

    Text Solution

    |

  11. If two side of a triangle are hat i+2 hat j and hat i+ hat k , then...

    Text Solution

    |

  12. If in parallelogram ABCD, diagonal vectors are vec A C=2 hat i+3 ha...

    Text Solution

    |

  13. Find the resultant of vectors vec a= hat i- hat j+2 hat k and vec b...

    Text Solution

    |

  14. Check whether the three vectors 2 hat i+2 hat j+3 hat k ,-3 hat i+3...

    Text Solution

    |

  15. The midpoint of two opposite sides of a quadrilateral and the midpo...

    Text Solution

    |

  16. Prove that the lines joining the vertices of a tetrahedron to the ce...

    Text Solution

    |

  17. Find the angle of vector vec a = 6 hat i + 2 hat j - 3 hat k with x -...

    Text Solution

    |

  18. If the vectors vecalpha=a hat i+a hat j+c hat k , vecbeta= hat i+ hat...

    Text Solution

    |

  19. The points with position vectors 60 i+3j ,40 i-8j ,a i-52 j are col...

    Text Solution

    |

  20. Let alpha, beta and gamma be distinct real numbers. The points whose ...

    Text Solution

    |