SZABMU AHS 2026 Vector and Scalar Free Quiz 10

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SZABMU AHS 2026 Vector and Scalar Free Quiz 10

SZABMU AHS Quiz

10:00

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Remaining: 10

Navigator 10 Q

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General 10 MCQs

91. What is the 4D dot product?

A. A0B0 + A1B1 + ... B. A0B0 - A1B1 - ... C. A0B0 + A1B1 - ... D. A0B0 - A1B1 + ...

92. What is the invariant of energy‑momentum four‑vector?

A. E² - p²c² = m²c⁴ B. (E/c)² - p² = m²c² C. E² - p² = m²c⁴ D. Both A and B

93. What matrices represent spin operators?

A. Pauli matrices B. Gamma matrices C. Dirac matrices D. Spin matrices

94. In which dimensions does a cross product exist?

A. Only in 3D B. 3D and 7D C. All dimensions D. Only 2D

95. How is cross product written with Levi‑Civita?

A. ε_{ijk} A_j B_k B. δ_{ij} A_j B_k C. ε_{ijk} A_i B_j D. δ_{ij} A_i B_j

96. How is dot product expressed with delta?

A. δ_{ij} A_i B_j B. ε_{ijk} A_i B_j C. δ_{ij} A_i B_j D. A_i B_i

97. What is the 2D rotation matrix?

A. [[cosθ, -sinθ],[sinθ, cosθ]] B. [[cosθ, sinθ],[-sinθ, cosθ]] C. [[cosθ, -sinθ],[-sinθ, cosθ]] D. [[sinθ, -cosθ],[cosθ, sinθ]]

98. What are the eigenvalues of a rotation matrix?

A. Real eigenvalues B. Complex eigenvalues C. Zero D. One

99. What properties does a rotation matrix have?

A. Orthogonal determinant +1 B. Symmetric determinant C. Hermitian D. Unitary

100. What are the three angles for 3D rotation?

A. Euler angles B. Rodrigues parameters C. Quaternions D. Axis‑angle

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