Scalar Multiplication of a Vector
Formula: ka = (k a₁, k a₂, k a₃) Conditions: k is a real number, a is a vector of any dimension. Brief Description: Scales the vector by a factor of k. The dir…
Syllabus path: Geometry and Algebra › Vectors and Complex Numbers › Vector Operations
CSCA Exam Prep
This formula is aligned to the CSCA undergraduate admissions exam syllabus. Continue with the linked tutorial and topic practice.
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CSCA Mathematics Formula Reference
Formula and explanation
Formula: ka = (k a₁, k a₂, k a₃) Conditions: k is a real number, a is a vector of any dimension. Brief Description: Scales the vector by a factor of k. The direction remains the same if k > 0 and reverses if k < 0.
Related tutorial and examples
Vector Operations
Vector Operations Vector operations are not just calculation tools but core methods for solving geometric problems. In the CSCA exam, the focus is on coordinate calculations and the conditions for parallelism and perpendicularity. 1. Basic Concepts Definition: A quantity with bot…
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