Unit 9 Assessment - Imaginary numbers and Vectors

An imaginary number is a complex number that can be written as a real number multiplied by the imaginary unit 'i', where i is defined as the square root of -1.

The component form of a vector is expressed as , where x is the horizontal component and y is the vertical component.

To multiply two complex numbers, use the distributive property (FOIL method) and combine like terms, remembering that i^2 = -1.

16 - 7i.

To add two vectors, add their corresponding components: if u = and v = , then u + v = .

<-19, -13>.

Multiplying a vector by a scalar scales each component of the vector by that scalar.

<6, -10>.

A vector represents a quantity that has both magnitude and direction, often visualized as an arrow in a coordinate system.

The magnitude of a vector is calculated as √(x² + y²), representing the length of the vector.