💬 Vectors: Mixed Practice & Reasoning (N-VM.A.3)

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Find magnitudes and solve problems involving vectors. Read each problem. Draw or write to solve. Label your answer.

1. |⟨6, 8⟩| = ___

Work

Answer: ______________

2. u = ⟨8, 15⟩, v = ⟨-5, -4⟩. Find u + v and 2u − v.

Work

Answer: ______________

3. |⟨3, 4⟩| = ___

Work

Answer: ______________

4. u = ⟨3, 4⟩, v = ⟨6, 5⟩. Find u + v and 2u − v.

Work

Answer: ______________

5. u = ⟨8, 15⟩, v = ⟨-2, -5⟩. Find u + v and 2u − v.

Work

Answer: ______________

6. |⟨5, 12⟩| = ___

Work

Answer: ______________

Answer key: 1) 10 · 2) ⟨3, 11⟩; ⟨21, 34⟩ · 3) 5 · 4) ⟨9, 9⟩; ⟨0, 3⟩ · 5) ⟨6, 10⟩; ⟨18, 35⟩ · 6) 13

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Worksheets › Grade 12 Math (Precalculus & Statistics) › Vectors › Vectors

Grade 12 (ages 17–18)Numbers & mathsFree printable PDF

About this grade 12 worksheet

Free Grade 12 Precalculus & Statistics math worksheet (Common Core N-VM.A.3): vectors — mixed practice with space to reason and check, with answer key. Skill: Find magnitudes and solve problems involving vectors. Level: Grade 12 — also suits Year 13 (UK).

For teachers: skills & standards

CCSS N-VM.A.3: Find magnitudes and solve problems involving vectors
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 12 (ages 17–18), but use it with any child who is ready.

What skills does it build?

Find magnitudes and solve problems involving vectors.

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More “Vectors” printables (n-vm.a.3: find magnitudes and solve problems involving vectors)

Vectors: Practice A (N-VM.A.3) · Vectors: Practice B (N-VM.A.3) · Vectors: Show Your Thinking (N-VM.A.3) · Vectors: Quick Check (N-VM.A.3)

All 5 vectors sheets → · Grade 12 Math (Precalculus & Statistics): all 10 skills → · All Common Core grades

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