Question

1. find the components and the length of \\(\overrightarrow{pq}\\).
2. \\(p = (0, 3)\\), \\(q = (4, 0)\\).

Explanation:

Step1: Calculate vector components

Subtract $P$ coordinates from $Q$ coordinates:
$\overrightarrow{PQ} = (4-0, 0-3) = (4, -3)$

Step2: Calculate vector length

Use distance formula for 2D vector:
$\|\overrightarrow{PQ}\| = \sqrt{4^2 + (-3)^2} = \sqrt{16+9} = \sqrt{25}$

Answer:

Components of $\overrightarrow{PQ}$: $(4, -3)$
Length of $\overrightarrow{PQ}$: $5$