Vectors and Equilibrium
The vector product of $\vec{A} = 2\hat{i}$ and $\vec{B} = 3\hat{j}$ is:
A) $6\hat{k}$
B) $-6\hat{k}$
C) 6
D) 0
What is the angle between force and position vector for zero torque?
A) $0^\circ$
B) $90^\circ$
C) $180^\circ$
D) Both A and C
The direction of a vector product $\vec{A} \times \vec{B}$ is perpendicular to:
A) Vector $\vec{A}$ only
B) Vector $\vec{B}$ only
C) Both vectors $\vec{A}$ and $\vec{B}$
D) The plane containing $\vec{A}$ and $\vec{B}$
A physical quantity that has both magnitude and direction is called a:
A) Scalar
B) Vector
C) Unit
D) Constant
The magnitude of the cross product of two vectors is given by:
A) $AB\cos\theta$
B) $AB\sin\theta$
C) $A+B$
D) $AB$
The magnitude of the dot product of two vectors is given by:
A) $AB\sin\theta$
B) $AB\cos\theta$
C) $A-B$
D) $AB$
Which of the following statements is true for a scalar product?
A) It is a vector
B) It is a scalar
C) Its value depends on the origin
D) It is non-commutative
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