Vectors & Scalars in Physics

\text{Resultant} = 14.1 \text{ at } 45^\circ

v110 at 0°

v210 at 90°

Resultant magnitude14.14

Resultant angle45.0°

v1 magnitude10

v1 angle (°)0

v2 magnitude10

v2 angle (°)90

Set v1 = 10 at 0° and v2 = 10 at 90° — confirm the resultant is about 14.1 at 45°
Set v1 = 10 at 0° and v2 = 10 at 180° — confirm the resultant collapses to about 0
Set v1 = 6 at 0° and v2 = 8 at 90° — confirm the resultant is exactly 10 (a 3-4-5 triangle, scaled by 2)
Set v1 = 10 at 0° and v2 = 10 at 0° (same direction) — confirm the resultant reaches its maximum of 20
Set v1 = 10 at 30° — check its x-component is about 8.7 and y-component is about 5.0