Unit 6 · Class 10 IB MYP · Formula Sheet
Vectors Introduction Formulas — Class 10 IB MYP
Represent vectors, perform vector addition and scalar multiplication, and apply to geometry.
Key Formulas
Column Vector
\vec{v} = \begin{pmatrix} a \\ b \end{pmatrix}
Magnitude
|\vec{v}| = \sqrt{a^2 + b^2}
Addition
\begin{pmatrix} a \\ b \end{pmatrix} + \begin{pmatrix} c \\ d \end{pmatrix} = \begin{pmatrix} a+c \\ b+d \end{pmatrix}
Scalar Multiplication
k\begin{pmatrix} a \\ b \end{pmatrix} = \begin{pmatrix} ka \\ kb \end{pmatrix}
Position Vector
\vec{AB} = \vec{b} - \vec{a}
Worked Examples
1Using: Application
Apply the key formula from this topic to a sample problem.
Step 1: Identify the formula.
Step 2: Substitute the values.
Step 3: Simplify to get the answer.
Answer: See solution above
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