1. Write the vector $P Q$ as a position vector.
\[
P(3,-4), Q(-1,7)
\]

Answer

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Answer

Final Answer: The position vector PQ is $\boxed{-4\mathbf{i} + 11\mathbf{j}}$.

Steps

Step 1 ：Given points P(3,-4) and Q(-1,7).

Step 2 ：The position vector of a point P(x, y) is given by OP = xi + yj where O is the origin (0, 0).

Step 3 ：The vector PQ is given by OQ - OP. We can calculate this by subtracting the coordinates of P from the coordinates of Q.

Step 4 ：Subtract the coordinates of P from the coordinates of Q to get PQ = [-4 11].

Step 5 ：Final Answer: The position vector PQ is $\boxed{-4\mathbf{i} + 11\mathbf{j}}$.