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Grade 11 Vectors Worksheet with Answers
Grade 11 (US) · Year 12 (UK) · Class 11 (India) · Math
Unit 8: Going FurtherAdvanced: Precalculus & Calculus PreviewCCSS N-VM.A.1Advanced
Vector addition, scalar multiples, magnitude and the dot product. This free high school worksheet has 12 questions and a full answer key. Print it or save it as a PDF — every answer is checked by code, not guessed.
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Practice Sheetaethelsystems.comVectors
Grade 11 · Math
Name
Class
Date
Learning goal: Advanced: Precalculus & Calculus Preview · CCSS N-VM.A.1
Directions: Use the pictures to help you. Solve each problem. Show your work, then write your answer in the box.
u = <4, 4>. Find 2u.
Answer: <8, 8>
RememberMatrices and vectors
- 1
Find the magnitude of <9, 12>.
Answer - 2
Find the magnitude of <7, 24>.
Answer - 3
Find the magnitude of <3, 4>.
Answer - 4
u = <2, 5>, v = <-6, 9>. Find u - v.
Answer - 5
u = <4, -8>, v = <6, -6>. Find u - v.
Answer - 6
Find the dot product of <-5, 4> and <9, -2>.
Answer - 7
u = <-7, 2>, v = <-1, -9>. Find u + v.
Answer - 8
u = <4, -3>, v = <2, -2>. Find u + v.
Answer - 9
Find the dot product of <5, -1> and <2, -1>.
Answer - 10
Find the dot product of <5, 2> and <1, -3>.
Answer - 11
u = <-7, -5>, v = <9, -3>. Find u + v.
Answer - 12
u = <4, -2>, v = <-1, -6>. Find u - v.
Answer
★ Challenge corner for fast finishers
You have 6 shirts, 5 pairs of pants and 1 hats. How many different outfits of one shirt, one pair of pants and one hat can you make?
How did I do?
Teacher's comments
Free printable worksheets with answer keys · aethelsystems.com/worksheets/math/11/vectors
Answer key — Vectors (Grade 11)
- 1.15
- 2.25
- 3.5
- 4.<8, -4>
- 5.<-2, -2>
- 6.-53
- 7.<-8, -7>
- 8.<6, -5>
- 9.11
- 10.-1
- 11.<2, -8>
- 12.<5, 4>
- ★30
Answer key (click to show)
- 1.15
- 2.25
- 3.5
- 4.<8, -4>
- 5.<-2, -2>
- 6.-53
- 7.<-8, -7>
- 8.<6, -5>
- 9.11
- 10.-1
- 11.<2, -8>
- 12.<5, 4>
- ★30 (challenge corner)
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