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Standards

CCSS.Math.Content.HSN-VM.B

Perform operations on vectors.

Vector and Matrix Quantities

High School — Number and Quantity

Common Core State Standards (CCSS) Initiative: Mathematics Standards

CCSS.Math.Content.HSN-VM.B.5 (+) Multiply a vector by a scalar.

CCSS.Math.Content.HSN-VM.B.5a
Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(v<sub>x</sub>, v<sub>y</sub>) = (cv<sub>x</sub>, cv<sub>y</sub>).
CCSS.Math.Content.HSN-VM.B.5b
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).