SZABMU AHS 2026 Vector and Scalar Free Quiz 6

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SZABMU AHS 2026 Vector and Scalar Free Quiz 6

SZABMU AHS Quiz

10:00

Answered: 0 / 10

Remaining: 10

Navigator 10 Q

General

General 10 MCQs

51. What is the divergence of a vector field?

A. Curl (scalar) B. Divergence (scalar) C. Gradient (vector) D. Laplacian

52. What operation gives the circulation of a vector field?

A. Divergence B. Curl C. Gradient D. Laplacian

53. What is the Laplacian operator?

A. ∇²φ = ∇·(∇φ) B. ∇²φ = ∇×∇φ C. ∇²φ = ∇(∇·φ) D. ∇²φ = 0

54. What condition makes a vector field conservative?

A. Divergence zero B. Curl zero C. Gradient zero D. Laplacian zero

55. What condition makes a vector field solenoidal?

A. Curl zero B. Divergence zero C. Gradient zero D. Laplacian zero

56. What is the identity for divergence of curl?

A. ∇·(∇×A) = 0 B. ∇×(∇φ) = 0 C. Both D. Neither

57. What is the identity for curl of gradient?

A. ∇×(∇φ) = 0 B. ∇·(∇φ) = 0 C. ∇×(∇×A) = ∇(∇·A) - ∇²A D. All

58. What theorem decomposes a vector field?

A. Helmholtz decomposition B. Laplacian C. Green's theorem D. Stokes theorem

59. What are the cross products of i, j, k?

A. i×j = k, j×k = i, k×i = j B. i×j = -k, j×k = -i C. i×i = 1 D. j×i = k

60. How is scalar triple product expressed as a determinant?

A. Determinant B. Trace C. Dot product D. Cross product

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