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Standards/Math/Mississippi/N-VM.5

N-VM.5

N-VM N-VM
N-VM.1
N-VM.10
N-VM.11
N-VM.12
N-VM.2
N-VM.3
N-VM.4
N-VM.5
N-VM.5.aN-VM.5.b
N-VM.6
N-VM.7
N-VM.8
N-VM.9

Multiply a vector by a scalar.

N-VM.5.aRepresent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(v_x, v_y) = (cv_x, cv_y).N-VM.5.bCompute 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).
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