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How to Perform Scalar Multiplication

How to Perform Scalar Multiplication

Scalar multiplication means multiplying every entry of a vector or matrix by the same number, called the scalar. For example, 3 × (2, −1) = (6, −3), and 2 × [[1, 4], [0, 3]] = [[2, 8], [0, 6]]. Multiplying a vector by a positive scalar stretches or shrinks it; a negative scalar also reverses […]

How to Use Parallelogram Rule for Vector Addition and Subtraction

How to Use Parallelogram Rule for Vector Addition and Subtraction

TL;DR: Two arrows tugging on the same starting point, where do they end up combined? The parallelogram rule answers that. Draw both vectors from the same starting point, complete the parallelogram by sketching the opposite sides, and the diagonal from your starting point is the sum. For subtraction, flip the second vector around and add […]

How to Understand the Nuance of Equality of Vectors in Two Dimensions

How to Understand the Nuance of Equality of Vectors in Two Dimensions

How to Perform Vector Addition and Subtraction

How to Perform Vector Addition and Subtraction

Mastering Translations on the Coordinate Plane: A Step-by-Step

Mastering Translations on the Coordinate Plane: A Step-by-Step

How to Classify Polygons: A Step-by-Step Guide to Shape Identification

How to Classify Polygons: A Step-by-Step Guide to Shape Identification

How to Understand Angles in Quadrilaterals

How to Understand Angles in Quadrilaterals

How to Find Length of a Vector

How to Find Length of a Vector

Amounts of Money Comparison

Amounts of Money Comparison

Exploring Line and Rotational Symmetry

Exploring Line and Rotational Symmetry

How to Understand Congruence through Rigid Motion Transformations

How to Understand Congruence through Rigid Motion Transformations

Two-Column Proofs: How to Write Statements and Reasons

Two-Column Proofs: How to Write Statements and Reasons