Home
Class 11
MATHS
A vector bar(a) has components a(1), a(2...

A vector `bar(a)` has components `a_(1), a_(2), a_(3)` in the right handed system OXYZ. If the coordinate system is rotated about z-axis through an angle `pi//2`, the component of `bar(a)` in the new system are

A

`(a_(2), -a_(1), a_(3))`

B

`(a_(2), a_(1), a_(3))`

C

`(-a_(2), a_(1), a_(3))`

D

`(-a_(2), -a_(1), a_(3))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise PRACTICE EXERCISES|55 Videos

  • PROPERTIES OF VECTORS

    AAKASH SERIES|Exercise EXERCISE - I|31 Videos

  • PROPERTIES OF TRIANGLES

    AAKASH SERIES|Exercise ADDITIONAL PRACTICE EXERCISE (LEVEL II) (Linked Comprehension Type Questions Passage -III:)|3 Videos

  • RATE MEASUREMENT

    AAKASH SERIES|Exercise PRACTICE SHEET (EXERCISE - 1) (LEVEL - 1) (STRAIGHT OBJECTIVE TYPE QUESTION)|43 Videos

Similar Questions

Explore conceptually related problems

If the axes are rotated through an angle 45^(@) , the coordinates of (2sqrt(2), -3//sqrt(2)) in the new system are

If the axes are rotated through an angle 60^(0) , fine the coordinates of the point (6sqrt3,4) in the new system.

If the coordinates of a point P changes to (2,-6) when the coordinate axes are rotated through an angle of 135^(@) , then the coordinates of P in the original system are

If the axes are rotated through an angle 60^(@) then the cpprdinates of a point (2,-4sqrt3) in the old system are

A vector bar(a) has components 2p and 1 w.r.t a rectangular cartesian system. It is rotated through a certain angle about the origin in the counter clockwise direction. With respect to the new system, if bar(a) has components p +1, 1 then p =

If the origin of a coordinate system is shifted to (-sqrt(2), sqrt(2)) and the then the coordinate system rotated anticlockwise through an angle 45^(0) , the point P(1, -1) in the original system has new coordinates

AAKASH SERIES-PROPERTIES OF VECTORS-EXERCISE - II
  1. If bar(e)=lbar(i)+mbar(j)+nbar(k) is a unit vector then maximum value ...

    Text Solution

    |

  2. If l, m, n are d.c's of vector bar(OP) then maximum value of lmn is

    Text Solution

    |

  3. A vector bar(a) has components a(1), a(2), a(3) in the right handed sy...

    Text Solution

    |

  4. A vector bar(a) has components 2p and 1 w.r.t a rectangular cartesian ...

    Text Solution

    |

  5. In a DeltaOAB The P.V.'s of A, B are bar(a), bar(b) respectively. The ...

    Text Solution

    |

  6. The position vectors A, B are bar(a), bar(b) respectively. The positio...

    Text Solution

    |

  7. If bar(a), bar(b), bar(c) are the position vectors of the vertices A, ...

    Text Solution

    |

  8. The equation to the altitude of the triangle formed by (1, 1, 1), (1, ...

    Text Solution

    |

  9. If the position vectors of A, B are 2bar(i)-9bar(j)-4bar(k), 6bar(i)-3...

    Text Solution

    |

  10. If the position vectors of A, B, C, D are 3bar(i)+2bar(j)+bar(k), 4bar...

    Text Solution

    |

  11. The lineas r = (6 - 6s) a + (4s - 4) b + (4 - 8s) c and r = (2t - 1) a...

    Text Solution

    |

  12. A point on the line passing through (1, 1, 1) and parallel to (1, -2, ...

    Text Solution

    |

  13. A line passing through the point A(3bar(i)+bar(j)-bar(k)) and parallel...

    Text Solution

    |

  14. The point of intersection of the line passing through bar(i)-2bar(j)-b...

    Text Solution

    |

  15. Statement-I : If two vectors are collinear then those vectors are copl...

    Text Solution

    |

  16. Statement-I : Two non zero, non collinear vectors are linearly indepen...

    Text Solution

    |

  17. The descending order of magnitudes of the vectors A=(i-j)/sqrt(2), B=b...

    Text Solution

    |

  18. If D, E, F are mid points of sides BC, CA, AB of triangle ABC and G is...

    Text Solution

    |

  19. Observe the following statements : Assertion (A) : Three vectors are...

    Text Solution

    |

  20. If the vector bar(a)=2bar(i)+3bar(j)+6bar(k) and bar(b) are collinear ...

    Text Solution

    |