Multiple Choice
Which of the following are vector quantities?
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2. 1D Motion / Kinematics
Vectors, Scalars, & Displacement
Multiple Choice
Which of the following vectors represents the resultant of adding vectors and ?
A
B
C
D
Verified step by step guidance1
Understand that the resultant vector of adding two vectors \( \mathbf{a} \) and \( \mathbf{b} \) is given by the vector sum \( \mathbf{a} + \mathbf{b} \).
Recall that vector addition involves placing the tail of vector \( \mathbf{b} \) at the head of vector \( \mathbf{a} \) and then drawing a vector from the tail of \( \mathbf{a} \) to the head of \( \mathbf{b} \).
Recognize that expressions like \( \mathbf{b} - \mathbf{a} \) or \( \mathbf{a} - \mathbf{b} \) represent vector subtraction, which is different from vector addition and results in a different vector.
Note that the symbol \( \ast \) between vectors is not a standard operation for vector addition or subtraction, so it does not represent the resultant vector of adding \( \mathbf{a} \) and \( \mathbf{b} \).
Therefore, the vector that correctly represents the resultant of adding \( \mathbf{a} \) and \( \mathbf{b} \) is \( \mathbf{a} + \mathbf{b} \).
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