HSN.VM.B.4

Standard

(+) Add and subtract vectors.

Sub-standards

• HSN.VM.B.4.a — 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.
• HSN.VM.B.4.b — Given two vectors in magnitude and direction form, determine the magnitude and direction of their sum.
• HSN.VM.B.4.c — 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.