Select the statements that describe a vector. check all that apply.
vectors have a size only.
vectors have a size and a direction.
vectors are indicated with arrows.
vectors can have only positive values.
vectors can have positive or negative values.

The vectors are the mathematical entity which defines any quantity with direction and magnitude, such that any specific direction is positive and opposite direction is negative. Therefore, the statements (b), (c) and (e) are correct.

(a) Since, vectors are dependent on magnitude along with direction. So, the statement, "Vectors have a size only" is incorrect.

(b) Vectors are defined by magnitude and direction. Hence, the statement "Vectors have a size and a direction" is correct.

(c) Mathematically, vectors are represented by arrows on the variable. For example: ₋    is a vector.  Hence, the statement 'Vectors are indicated with arrows" is correct.

(d) Vectors are direction direction dependent which can be positive or negative as per the sign convention. Hence, the statement "Vectors can have only positive values" is incorrect.

(e) As per the above explanation, vectors may have both positive and negative value dependent on direction. So, the statement  "Vectors can have positive or negative values" is correct.

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moving ball hits still ball. mover stops, hit ball moves. momentum transfer.