Final Answer:
The combination that points directly to the left is C q-p, as it involves moving in the direction of vector q and then subtracting vector p.
Step-by-step explanation:
In vector addition and subtraction, the order of vectors matters. The vectors in the options are represented as combinations of vectors P and Q. To determine the combination that points directly to the left, we need to consider the direction and magnitude of each vector.
Let's analyze option C: q-p. This means we first move in the direction of vector q and then subtract the vector p. The subtraction of vector p essentially reverses the direction. If vector q points directly to the right, subtracting vector p will reverse this direction, pointing directly to the left. Therefore, option C (q-p) is the correct choice.
Now, let's understand this conceptually. Vectors can be thought of as arrows with a certain length and direction. Vector q represents a certain magnitude and direction, and when we subtract vector p, we essentially flip the direction. The resulting vector points to the left due to this reversal. It's crucial to consider the order of vectors in operations like addition and subtraction to determine the correct direction.
In summary, the combination q-p, as in option C, results in a vector pointing directly to the left, making it the correct answer for the given question.