What's on a Grade 12 vector worksheet?

Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so you can match the child's level.

What's the difference between the dot product and the cross product?

The dot product of two vectors is a single number (a scalar); the cross product (3-space only) is itself a new vector, perpendicular to both original vectors.

How do you tell if two vectors are perpendicular?

Their dot product is exactly 0. This works in both 2-space and 3-space.

What is a unit vector?

A vector with magnitude 1, pointing in the same direction as the original vector, found by dividing every component by the vector's magnitude.

Grade 12 · Vectors

Grade 12 Vector Worksheets

Free printable Grade 12 vector worksheets, each with an answer key and sized to fit one page. Pick beginner, intermediate, or advanced and generate a fresh pack in seconds. No AI, no wrong answers.

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Free to start · answer keys included · your first pack unlocks 14 days of Standard · no card required.

Grade 12 examples by level

BeginnerFind $|\vec{v}|$ given $\vec{v} = \langle -8, 15 \rangle$ =17
IntermediateFind $|\vec{v}|$ given $\vec{v} = \langle 5, 12 \rangle$ =13
AdvancedFind the unit vector in the direction of $\vec{v} = \langle 1, 4, -8 \rangle$ = $\left\langle \dfrac{1}{9}, \dfrac{4}{9}, \dfrac{-8}{9} \right\rangle$

Real problems from the generator: always mathematically correct, and every pack is different.

Why Grade 12 vector practice matters

Vectors describe quantities that have both size and direction, force, velocity, displacement, and are the language used across physics, engineering, and computer graphics for anything that isn't just a single number.

Grade 12 is the only grade Mathter offers vector worksheets for.

Want the full method, tips, and common mistakes? Read the Vectors Worksheets guide.

Frequently asked questions

What's on a Grade 12 vector worksheet?: Each pack has up to 12 questions per page with a matching answer key, tuned to Grade 12, with beginner, intermediate, and advanced options so you can match the child's level.
What's the difference between the dot product and the cross product?: The dot product of two vectors is a single number (a scalar); the cross product (3-space only) is itself a new vector, perpendicular to both original vectors.
How do you tell if two vectors are perpendicular?: Their dot product is exactly 0. This works in both 2-space and 3-space.
What is a unit vector?: A vector with magnitude 1, pointing in the same direction as the original vector, found by dividing every component by the vector's magnitude.

Make a Grade 12 vector pack

Pick your options and print in seconds, with answer keys included.

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Free to start · answer keys included · your first pack unlocks 14 days of Standard · no card required.