Question

Write the vector YZ in component form.
Y(-9, 2) Z(3, -4)

Answer 1

`\displaystyle \overrightarrow{YZ} = \ <12, \ -6>`

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Algebra I

Coordinate Planes

• Coordinates (x, y)

Pre-Calculus

Vectors

• Component Form:
  `\displaystyle \overrightarrow{XY} = \`

Explanation:

Step 1: Define

Identify.

Point Y(-9, 2)

Point Z(3, -4)

Step 2: Find

1. Substitute in points [Vector Component Form]:
   `\displaystyle \overrightarrow{YZ} = \ <3 - -9, \ -4 - 2>`
2. [Order of Operations] Evaluate:
   `\displaystyle \overrightarrow{YZ} = \ <12, \ -6>`