Free Printable WorksheetMathTrigonometryMath CurriculumUTRI.TA.3

TRIG.110 Vectors in the plane using direction and magnitude Worksheet

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Worksheet Overview & Skills Covered

Core academic competencies and curriculum alignment

This Trigonometry Math worksheet provides structured practice on TRIG.110 Vectors in the plane using direction and magnitude. Students are guided through targeted exercises that build foundational understanding, computational accuracy, and critical thinking skills.

TRIG.110 Vectors in the plane using direction and magnitude - UTRI.TA.3: Select the correct vector representation or operation (addition, scaling, components) to model a navigation or force situation. Associated standards listed with this skill: UTRI.TA.3; TEKS §111.42(c)(4)(I)-(K); CCSS HSN.VM (if adopted).

Whether you are an educator preparing classroom handouts, a tutor reinforcing weekly topics, or a parent supporting homeschool learning, this printable resource gives students the deliberate practice required to achieve subject fluency and master state standards.

Grade

Trigonometry

Subject

Math

Domain

Math Curriculum

Formats

PDF & DOCX

Sample Practice Problems

Preview the types of problems and questions covered in this worksheet

Below are sample questions representative of the exercises included on this worksheet and related TRIG.110 Vectors in the plane using direction and magnitude skill assessments:

Problem 1Difficulty: Mastery

A rescue helicopter needs net displacement (0, 20). It can fly displacement vector (12, 16) before wind is included. What wind displacement vector completes the model?

A(12, -4)

B(-12, 4)

C(0, 36)

D(-12, -4)

Solution & Explanation:Flight vector plus wind vector must equal (0, 20). Wind = (0, 20) - (12, 16) = (-12, 4).

Problem 2Difficulty: Mastery

Let u = (6, 8) and v = (-9, 12). What is the magnitude of u - v, rounded to the nearest tenth? Enter the number only.

Solution & Explanation:Subtract components: u - v = (6 - (-9), 8 - 12) = (15, -4). Its magnitude is sqrt(15² + (-4)²) = sqrt(241), about 15.5.

Problem 3Difficulty: Mastery

A coordinate-plane diagram shows a vector from (-3, 4) to (5, -2). Which description matches the vector?

AComponents (8, -6), magnitude 10, directed 8 east and 6 south

BComponents (-8, 6), magnitude 10, directed 8 west and 6 north

CComponents (2, 2), magnitude 4, directed northeast

DComponents (5, -2), magnitude 10, directed east

Solution & Explanation:Subtract the starting point from the ending point: (5 - (-3), -2 - 4) = (8, -6). Its magnitude is sqrt(8² + 6²) = 10.

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Frequently Asked Questions

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QWhat grade level and standards does this worksheet align with?

This worksheet is designed specifically for Trigonometry Math students. It aligns with educational standard UTRI.TA.3 (UTRI.TA.3: Select the correct vector representation or operation (addition, scaling, components) to model a navigation or force situation. Associated standards listed with this skill: UTRI.TA.3; TEKS §111.42(c)(4)(I)-(K); CCSS HSN.VM (if adopted).).