Vector Components and Trigonometry

Vector Components and Trigonometry

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Hard

Created by

Emma Peterson

FREE Resource

The video tutorial explains how to find the component form of a vector given its magnitude and angle with the positive x-axis. It involves sketching the vector in standard position, identifying its quadrant, and calculating the x and y components using trigonometric functions. The tutorial also demonstrates using a calculator to find approximate values for these components, ensuring the calculator is in degree mode. The final component values are rounded to two decimal places, and the tutorial concludes by verifying the results with the vector's position in the third quadrant.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the magnitude of vector v?

48

36

24

12

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant does the vector lie if it makes a 245.7-degree angle with the positive x-axis?

Fourth

Third

Second

First

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why are both the x and y components of the vector negative?

Because the vector is in the first quadrant

Because the vector is in the second quadrant

Because the vector is in the third quadrant

Because the vector is in the fourth quadrant

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the x component of a vector given its magnitude and angle?

Magnitude divided by sine of the angle

Magnitude times cosine of the angle

Magnitude times sine of the angle

Magnitude divided by cosine of the angle

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the formula for the y component of a vector given its magnitude and angle?

Magnitude divided by cosine of the angle

Magnitude divided by sine of the angle

Magnitude times cosine of the angle

Magnitude times sine of the angle

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of the x component of the vector?

-9.88

-21.87

21.87

9.88

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What should you ensure about your calculator before calculating trigonometric values?

It is in standard mode

It is in degree mode

It is in radian mode

It is in scientific mode

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