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Scalar Multiplication of Vectors

Videos and lessons to help High School students learn how to represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vxvy) = (cvxcvy).

Suggested Learning Targets

  • I can multiply a vector by a scalar graphically.
  • I can multiply a vector by a scalar component-wise.

Common Core: HSN-VM.B.5

Related Topics:
Common Core (Vector and Matrix Quantities)

Common Core for Mathematics

Multiplying a Vector by a Scalar
This video shows how to multiply a vector by a scalar including some algebraic properties of scalar multiplication. The lesson also discusses briefly the concept of a linear combination of vectors and shows an example of drawing a gemetric sum/difference of 3 vectors.

Vector Addition and Scalar Multiplication, Example 1
In this video, we look at vector addition and scalar multiplication algebraically using the component form of the vector.

Vector Addition and Scalar Multiplication, Example 2
In this video we add two vectors in component form and also sketch the vectors to illustrate how to add vectors graphically.

Addition & Scalar Multiplication on Vectors.

Vectors, Addition, Subtraction and Scalar Multiplication.

Multiplying a Vector by a Scalar
This lesson presents the properties of multiplication of a vector by a scalar. You will also learn what collinear vectors represent and how to verify that two vectors are collinear or parallel.

Rotate to landscape screen format on a mobile phone or small tablet to use the Mathway widget, a free math problem solver that answers your questions with step-by-step explanations.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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