Question

Consider the two points P(1,-4,5) and Q(-2,-4,8) and the vector v:

v = [1, 3, -3]
Given that the vector PQ is [-3, 0, 3]

Answer 1

The vector PQ is calculated by subtracting the coordinates of point P from Q, resulting in the vector [-3, 0, 3], which confirms the given vector PQ in the question.

Step-by-step explanation:

The question involves finding the vector PQ from two given points P(1,-4,5) and Q(-2,-4,8) and confirming the given vector PQ. To calculate the vector PQ, we subtract the coordinates of point P from the coordinates of point Q. The calculation is as follows:

• x-component: (-2) - (1) = -3
• y-component: (-4) - (-4) = 0
• z-component: (8) - (5) = 3

Thus, the vector PQ = [-3, 0, 3], which matches the given vector provided in the question. Since the calculation confirms the vector PQ provided in the question, no further action is required.