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Integrated Mathematics III
58. CC.HSN.VM.A.2
58.2 Scalar multiplication of vectors
Scalar multiplication of vectors
What You'll Learn
Multiply vectors by scalars to change their magnitude
Apply the distributive property to scale vector components
Recognize how positive scalars stretch or compress vectors
Understand how negative scalars reverse vector direction
Calculate the magnitude of scaled vectors using component formulas
What You'll Practice
1
Multiplying vectors in component form by positive and negative scalars
2
Finding magnitudes of scaled vectors
3
Factoring scalars from vector expressions
4
Working with fractional scalar multipliers
Why This Matters
Scalar multiplication is essential for physics applications like calculating velocity, force, and displacement. You'll use this skill throughout calculus, engineering, and any field involving motion, direction, and magnitude relationships.
Before You Start — Make Sure You Can:
This Unit Includes
7 Video lessons
Practice exercises
Skills
Scalar Multiplication
Vectors
Magnitude
Component Form
Distributive Property
Vector Operations
OH Curriculum Aligned