HSN.VM.B.5: Multiply a vector by a scalar.

Also written as N-VM.5 or N.VM.5

Multiply a vector by a scalar.

HSN.VM.B.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).HSN.VM.B.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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Unit vectors Analyze scalar multiplication

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