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N-VM.5

Grade / Level High School - Number and Quantity
Domain Vector & Matrix Quantities
Cluster Perform operations on vectors.
Standard (+) Multiply a vector by a scalar. •Represent 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). •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).

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