Common Core Standards: Math
4. Add and subtract vectors.
Hold onto your hats, because this is a lot of stuff. The good news is that it's all lumped into one standard because it all involves the same basic concepts, so this isn't going to be nearly as intimidating as it might appear from the title.
- Add vectors end-to-end, component-wise, and by the parallelogram rule. Understand that the magnitude of a sum of two vectors is typically not the sum of the magnitudes.
- Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
- Understand vector subtraction v – w as v + (–w), where –w is the additive inverse of w, with the same magnitude as w and pointing in the opposite direction. Represent vector subtraction graphically by connecting the tips in the appropriate order, and perform vector subtraction component-wise.