Physics
Vectors and Equilibrium
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#57 The cross product of a vector with itself is:
A) A scalar quantity
B) A null vector
C) Its magnitude squared
D) Unity
#58 Which of the following is a scalar?
A) Electric field
B) Magnetic flux
C) Magnetic field
D) Gravitational force
#59 If $\vec{A} = 2\hat{i} + 3\hat{j} - \hat{k}$ and $\vec{B} = 4\hat{i} + 6\hat{j} - 2\hat{k}$, then $\vec{A}$ and $\vec{B}$ are:
A) Perpendicular
B) Parallel
C) Equal
D) Orthogonal
#60 The resultant of a 5 N force along the x-axis and a 12 N force along the y-axis has a magnitude of:
A) 17 N
B) 13 N
C) 7 N
D) 10 N
#61 The torque produced by a force is maximum when the force is applied:
A) Along the axis of rotation
B) Perpendicular to the position vector
C) Parallel to the position vector
D) At $45^\circ$ to the position vector
#62 A body in stable equilibrium returns to its original position after a slight displacement. This means its center of gravity is:
A) Raised
B) Lowered
C) Unchanged
D) Shifted horizontally
#63 A body in unstable equilibrium has its center of gravity:
A) Raised when displaced
B) Lowered when displaced
C) Unchanged
D) At the lowest point
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