📝 Vectors: Practice B (N-VM.A.3)

Paginepagineapp.com

Name:

Date:

Find magnitudes and solve problems involving vectors. Solve each problem.

1. |⟨6, 8⟩| = ___

2. u = ⟨8, 15⟩, v = ⟨-6, -6⟩. Find u + v and 2u − v.

3. u = ⟨5, 12⟩, v = ⟨-4, -3⟩. Find u + v and 2u − v.

4. |⟨5, 12⟩| = ___

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

6. |⟨8, 15⟩| = ___

7. u = ⟨5, 12⟩, v = ⟨2, -2⟩. Find u + v and 2u − v.

8. u = ⟨5, 12⟩, v = ⟨3, -4⟩. Find u + v and 2u − v.

9. |⟨3, 4⟩| = ___

10. u = ⟨5, 12⟩, v = ⟨2, -6⟩. Find u + v and 2u − v.

11. u = ⟨6, 8⟩, v = ⟨-6, -2⟩. Find u + v and 2u − v.

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

Answer key: 1) 10 · 2) ⟨2, 9⟩; ⟨22, 36⟩ · 3) ⟨1, 9⟩; ⟨14, 27⟩ · 4) 13 · 5) ⟨12, 10⟩; ⟨12, 35⟩ · 6) 17 · 7) ⟨7, 10⟩; ⟨8, 26⟩ · 8) ⟨8, 8⟩; ⟨7, 28⟩ · 9) 5 · 10) ⟨7, 6⟩; ⟨8, 30⟩ · 11) ⟨0, 6⟩; ⟨18, 18⟩ · 12) ⟨8, 2⟩; ⟨1, 10⟩

Love free resources? The free Pagine app tracks the books your child reads — kids earn streaks & badges. 📚 App Store · Google Play

← All worksheets

Free to print & share · pagineapp@mwamb.compagineapp.com

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 — a second set of twelve practice problems, 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.

Frequently asked questions

Is this worksheet free?

Yes — it is free to print for home or the classroom. Sign in with a free Pagine account, then use the Print button or save it as a PDF.

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.

Where can I find grade 12 books to read with it?

Pagine's free library has 20,000+ children's books you can read in the Pagine e-reader or the free Pagine app — sorted by age and grade, with free audiobooks too.

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

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

📚 Read along: 20,000+ free books in the Pagine e-reader

Pair this grade 12 worksheet with a story. Pagine's free library has 20,000+ children's books — classic novels, drama, poetry and non-fiction, classics and free audiobooks — that you can read right in the Pagine e-reader on any phone, tablet or computer, with adjustable text size and night mode. No ads.

Browse free grade 12 books → · Grade 12 reading level · Free audiobooks · High school reading list

📱 Get the free Pagine app — log every book your child reads (scan the barcode or search), set reading goals, and watch streaks and badges grow. Download on the App Store · Get it on Google Play