Back to:
Scalar Multiples WORKSHEET
Suitable for Grades: Pre-Calculus
CCSS: HSN.VM.B.5
CCSS Description: (+) Multiply a vector by a scalar. a. Represent scalar multiplication graphically by scaling vectors and possibly reversing their direction; perform scalar multiplication component-wise, e.g., as c(vx, vy) = (cvx, cvy). b. 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
Scalar Multiples WORKSHEET DESCRIPTION
This worksheet is designed to support the understanding of parallel vectors being scalar multiples of each other. Section A focuses on multiple of column vectors, followed by section B which then looks at the concept diagrammatically.
All worksheets are created by the team of experienced teachers at Cazoom Math.
RELATED TO Scalar Multiples WORKSHEET
Frequently Asked Questions
This scalar multiples worksheet is designed for Pre-Calculus students. At this level, students are ready to explore the relationship between parallel vectors and understand how scaling affects vector direction and magnitude. The concepts covered here build important foundational skills for calculus-level vector operations.