List of top Physics Questions on Vectors asked in CUET (PG)

If any two rows (or columns) of a determinant are identical then the value of the determinant is:
The eigen values of matrix \(A\) are 1, -2, 3. The eigen values of \(3I - 2A + A^2\) are:
A. 2
B. 6
C. 8
D. 11
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Match the LIST-I with LIST-II

LIST-I (Expressions)LIST-II (Values)
A.\( i^{49} \)I.1
B.\( i^{38} \)II.\(-i\)
C.\( i^{103} \)III.\(i\)
D.\( i^{92} \)IV.\(-1\)


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The real and imaginary parts of \(\log(x+iy)\) are:
If \(\vec{A}=\vec{\nabla}\phi\) and \(\phi = xy+yz+zx\), then the true statements are:
A. \(\vec{\nabla}\cdot\vec{A}=0\)
B. \(\vec{\nabla}\cdot\vec{A}\neq0\)
C. \(\vec{\nabla}\times\vec{A}=\vec{0}\)
D. \(\vec{\nabla}\times\vec{A}\neq\vec{0}\)
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The projection of vector \(\vec{A}=\hat{i}-2\hat{j}+\hat{k}\) on vector \(\vec{B}=4\hat{i}-4\hat{j}+7\hat{k}\) is:
If \(\vec{A} = \vec{\nabla} \times \vec{F}\), then \(\oiint_S \vec{A} \cdot \hat{n} dS\) (for any closed surface S) is:
If \(|\vec{A}+\vec{B}| = |\vec{A}-\vec{B}|\) then the angle between vectors \(\vec{A}\) and \(\vec{B}\) is:
For a force F to be conservative, the relations to be satisfied are:
A. \(\frac{\partial F_y}{\partial x} - \frac{\partial F_x}{\partial y} = 0\)
B. \(\frac{\partial F_z}{\partial y} - \frac{\partial F_y}{\partial z} = 0\)
C. \(\frac{\partial F_x}{\partial z} - \frac{\partial F_z}{\partial x} = 0\)
D. \(\frac{\partial F_y}{\partial x} - \frac{\partial F_x}{\partial y} = \frac{\partial F_z}{\partial y} - \frac{\partial F_y}{\partial z} = \frac{\partial F_x}{\partial z} - \frac{\partial F_z}{\partial x} \neq 0\)
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