Learning Resource Type

Classroom Resource

Multiplying a Vector By a Scalar

Subject Area

Mathematics

Grade(s)

9, 10, 11, 12

Overview

This video will help students learn how to multiply vectors by scalars and the different algebraic properties of scalar multiplication. 

    Mathematics (2019) Grade(s): 09-12 - Precalculus

    MA19.PRE.13

    Multiply a vector by a scalar.

    Unpacked Content

    UP:MA19.PRE.13

    Vocabulary

    • Scalar Multiple
    • Scalar Multiplication
    • Scaling Vectors

    Knowledge

    Students know:
    • The representation of vectors graphically on the xy-plane.

    Skills

    Students are able to:
    • Find the components of a vector.
    • Find the magnitude and direction of a vector.

    Understanding

    Students understand that:
    • Scalar multiplication results in a dilation of the original vector where a scalar greater than 1 would increase the magnitude and a scalar from 0 to 1 would decrease the magnitude.
    • A negative scalar would reverse the direction of the vector.
    • The absolute value of the scalar has the resulting effect on the magnitude.
    Link to Resource

    CR Resource Type

    Audio/Video

    Resource Provider

    CK-12
    Accessibility

    Accessibility

    Video resources: includes closed captioning or subtitles
    License

    License Type

    Custom
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