Question

Define the points P(1,3) and Q(3, - 4). Carry out the following calculation. Find two vectors parallel to QP with length 4.

Answer 1

To find two vectors parallel to QP with length 4, subtract the coordinates of P from the coordinates of Q to calculate QP. Then, multiply QP by a scalar value of 2 and -2 to get two vectors parallel to QP with length 4.

Step-by-step explanation:

To find two vectors parallel to QP with length 4, we need to calculate the vector QP and then find two vectors parallel to it.

Step 1: Calculate QP by subtracting the coordinates of P from the coordinates of Q. QP = (3-1, -4-3) = (2, -7)

Step 2: Find two vectors parallel to QP with length 4. We can multiply QP by any scalar value to get a vector parallel to it. Let's choose a scalar value of 2 to make the length of the vector 4. The first vector parallel to QP is 2QP = (4, -14). The second vector parallel to QP is -2QP = (-4, 14).