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# Common Core Standards: Math

# Math.CCSS.Math.Content.HSN-VM.B.5

**5. Multiply a vector by a scalar.**

Students shouldn't be scared of the word "scalar." A **scalar** is just a number without direction, like the number on your scale (and no, we aren't calling you fat).

#### Standard Components

- 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
*c*using ||**v***c*|| = |**v***c*|. Compute the direction of*v**c*knowing that when |**v***c*|≠ 0, the direction of*v**c*is either along**v**(for*v**c*> 0) or against(for*v**c*< 0).

#### Drills

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