Vectors and Equilibrium
The dot product of $\vec{A} = 2\hat{i} + 3\hat{j} + \hat{k}$ and $\vec{B} = \hat{i} - \hat{j} - \hat{k}$ is:
A) 2
B) -2
C) -1
D) -3
A vector whose magnitude is one is called a:
A) Null vector
B) Unit vector
C) Position vector
D) Resultant vector
Which of the following is not a property of a vector?
A) It has a magnitude
B) It has a direction
C) It can be multiplied by a scalar
D) It can be divided by a scalar
The number of rectangular components of a vector in 3D is:
A) 1
B) 2
C) 3
D) 4
The scalar product of a vector with a null vector is:
A) The magnitude of the vector
B) Zero
C) A null vector
D) Unity
The cross product of a vector with a null vector is:
A) Zero
B) A null vector
C) The magnitude of the vector
D) Unity
If $\vec{A} \times \vec{B} = -\vec{B} \times \vec{A}$, this property is called:
A) Commutative
B) Associative
C) Anti-commutative
D) Distributive
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