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Formulas

Vectors Formulas – IGCSE Maths

Every vectors formula you need for Cambridge IGCSE Mathematics 0580, with clear explanations of when and how to use each one.

Magnitude

Extended
v=x2+y2|\mathbf{v}| = \sqrt{x^2 + y^2}

Key formula for vectors in IGCSE Maths.

When to Use

Use when working with vectors problems.

Show your substitution clearly for method marks.

Addition

Core
(a1,a2)+(b1,b2)=(a1+b1,  a2+b2)(a_1, a_2) + (b_1, b_2) = (a_1+b_1,\; a_2+b_2)

Key formula for vectors in IGCSE Maths.

When to Use

Use when working with vectors problems.

Show your substitution clearly for method marks.

Scalar multiplication

Core
k(a,b)=(ka,  kb)k(a, b) = (ka,\; kb)

Key formula for vectors in IGCSE Maths.

When to Use

Use when working with vectors problems.

Show your substitution clearly for method marks.

Parallel vectors

Extended
a=kb for some scalar k\mathbf{a} = k\mathbf{b} \text{ for some scalar } k

Key formula for vectors in IGCSE Maths.

When to Use

Use when working with vectors problems.

Show your substitution clearly for method marks.

Position vector

Extended
OA represents point A from origin\overrightarrow{OA} \text{ represents point } A \text{ from origin}

Key formula for vectors in IGCSE Maths.

When to Use

Use when working with vectors problems.

Show your substitution clearly for method marks.

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Frequently Asked Questions

Which vectors formulas are given in the exam?

Check the IGCSE formula sheet provided in your exam. Some vectors formulas must be memorised.

How do I remember vectors formulas?

Practice using them in past paper questions. Repeated application is more effective than rote memorisation.

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