Mathematics
Mathematics
Problem
A force of magnitude is directed east of south. Indicate the sign (positive, negative, or zero) of (i) its north–south component and (ii) its east–west component.Intuitive explanation
The key is to set up a coordinate system and track which direction each component points. "East of south" means you start pointing south, then rotate 20° toward east—so the force has a significant southward part and a smaller eastward part. Once you identify which way each component actually points, the sign follows from your choice of positive directions (typically north and east are positive).
Intuitive explanation
The key is to set up a coordinate system and track which direction each component points. "East of south" means you start pointing south, then rotate 20° toward east—so the force has a significant southward part and a smaller eastward part. Once you identify which way each component actually points, the sign follows from your choice of positive directions (typically north and east are positive).