HSN.VM.B.5

Standard

(+) Multiply a vector by a scalar.

Sub-standards

• HSN.VM.B.5.a — Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy).
• HSN.VM.B.5.b — Compute the magnitude of a scalar multiple cv using ||cv|| = |c|v. Compute the direction of cv knowing that when |c|v ≠ 0, the direction of cv is either along v (for c > 0) or against v (for c < 0).