UNIT 3.3. Vectors (HL)

Formulae (HL Only)

Directed Line Segment

Vectors

Properties of Vectors

• Collinearity - Two points are colinear if they lie on the same line.

• Coplanarity - Two points or lines are coplanar if they lie in the same plane.

Parallelogram Rule (Vectors)

Triangle Rule (Vectors)

Zero Vector

Multiplication by a Scalar (Vectors)

Linear Combination of Vectors

Subtraction of Vectors

Coplanarity of Vectors (in 3D Space)

Vectors in Geometry

Base Vectors

Position Vectors

Vector Addition

Multiplication by a Scalar (Vector Algebra)

Linear Combination (Vector Algebra)

Finding Position Vectors from Coordinate Points

3D Algebra (Vectors)

Magnitude of a Vector

Unit Vectors

Unit vectors are vectors with a magnitude of 1 in any direction, any vector can now be represented as its parallel unit vector.

Scalar/Dot Product

Geometric Definition (Scalar/Dot Product)

Zero Dot Product (Vectors)

Properties of Scalar/Dot Product (Vectors)