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The matrix shown above transforms the components of a vector in one coordinate frame S  to the components of the same vector in a second coordinate frame S'. This matrix represents a rotation of the reference frame S  by :

  • a)
    45° clockwise about the y axis

  • b)
    30° counter clockwise about the z axis

  • c)
    30° clockwise about the x axis 

  • d)
    60° counter clockwise about the z axis

Correct answer is option 'D'. Can you explain this answer?
Verified Answer
The matrix shown above transforms the components of a vector in one co...
The form of the matrix show that the rotation is about the z-axis


since 




since the z component does not change

∴  rotation about the z axis


Now, the standard from of the rotation matrix about z axis is



The correct answer is: 60° counter clockwise about the z axis
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The matrix shown above transforms the components of a vector in one coordinate frameS to the components of the same vector in a second coordinate frameS. This matrix represents a rotation of the reference frameS by :a)45° clockwise about theyaxisb)30° counter clockwise about thezaxisc)30° clockwise about thexaxisd)60° counter clockwise about thezaxisCorrect answer is option 'D'. Can you explain this answer?
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The matrix shown above transforms the components of a vector in one coordinate frameS to the components of the same vector in a second coordinate frameS. This matrix represents a rotation of the reference frameS by :a)45° clockwise about theyaxisb)30° counter clockwise about thezaxisc)30° clockwise about thexaxisd)60° counter clockwise about thezaxisCorrect answer is option 'D'. Can you explain this answer? for Physics 2024 is part of Physics preparation. The Question and answers have been prepared according to the Physics exam syllabus. Information about The matrix shown above transforms the components of a vector in one coordinate frameS to the components of the same vector in a second coordinate frameS. This matrix represents a rotation of the reference frameS by :a)45° clockwise about theyaxisb)30° counter clockwise about thezaxisc)30° clockwise about thexaxisd)60° counter clockwise about thezaxisCorrect answer is option 'D'. Can you explain this answer? covers all topics & solutions for Physics 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The matrix shown above transforms the components of a vector in one coordinate frameS to the components of the same vector in a second coordinate frameS. This matrix represents a rotation of the reference frameS by :a)45° clockwise about theyaxisb)30° counter clockwise about thezaxisc)30° clockwise about thexaxisd)60° counter clockwise about thezaxisCorrect answer is option 'D'. Can you explain this answer?.
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