Vector Components and Trigonometric Functions

Vector Components and Trigonometric Functions

Assessment

Interactive Video

Mathematics, Physics, Architecture

9th - 10th Grade

Practice Problem

Hard

Created by

Patricia Brown

FREE Resource

The video tutorial by Mark Heredos on MathGuide.com explains vectors, which have both magnitude and direction. It covers how to break vectors into horizontal and vertical components, particularly useful in fields like engineering and physics. The tutorial demonstrates calculating these components using trigonometry, specifically cosine and sine functions, and concludes with practical applications of these concepts.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a vector characterized by?

Neither magnitude nor direction

Magnitude and direction

Only direction

Only magnitude

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a vector?

A force of 120 Newtons at a 35° angle

A skateboard moving south at 3 mph

A car traveling at 60 mph

A plane flying north at 500 mph

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why do engineers and physicists break vectors into components?

To change the direction

To simplify calculations

To increase the magnitude

To eliminate the vector

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in breaking a vector into components?

Calculate the magnitude

Draw a coordinate system

Find the resultant vector

Determine the vector's color

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to find the horizontal component of a vector?

Secant

Cosine

Tangent

Sine

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a vector has a magnitude of 120 Newtons and an angle of 35°, what is the horizontal component approximately?

120 Newtons

35 Newtons

68.83 Newtons

98.30 Newtons

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to find the vertical component of a vector?

Cotangent

Tangent

Sine

Cosine

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