Vector Components and Trigonometric Functions

This video tutorial explains how to find the horizontal and vertical components of a vector. It covers the necessary formulas, using the magnitude and direction angle to determine the components. An example problem is solved, demonstrating the calculation process using a calculator. The video concludes with a summary and an invitation for questions.

What two pieces of information are necessary to find the horizontal and vertical components of a vector?

• Magnitude and direction angle

• Height and base

• Length and width

• Speed and time

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

• Cotangent

• Tangent

• Cosine

• Sine

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

• Sine

• Cosine

• Tangent

• Secant

In which quadrant does a vector with a direction angle of 245 degrees lie?

• Quadrant IV

• Quadrant III

• Quadrant II

• Quadrant I

What is the magnitude of the vector used in the example problem?

• 9.2

• 10.5

• 7.5

• 5.7

What is the horizontal component of the vector after rounding to two decimal places?

• -3.19

• -3.17

• -3.16

• -3.18

What is the vertical component of the vector after rounding to two decimal places?

• -6.79

• -6.81

• -6.78

• -6.80

What are the terminal points of the vector after calculation?

• (-3.19, -6.82)

• (-3.18, -6.81)

• (-3.16, -6.79)

• (-3.17, -6.80)

Why is it important to check the mode of your calculator before starting calculations?

• To ensure it is in radians

• To ensure it is in degrees

• To ensure it is in scientific mode

• To ensure it is in standard mode

What is the purpose of finding the horizontal and vertical components of a vector?

• To measure the weight of the vector

• To calculate the area of the vector

• To find the terminal points of the vector

• To determine the speed of the vector