Given the magnitude and direction of a vector find it's components

Given the magnitude and direction of a vector find it's components

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to determine the components of a vector given its magnitude and angle. It involves using trigonometric functions, specifically cosine and sine, to calculate the components. The instructor emphasizes the importance of setting the calculator to degree mode and demonstrates the calculation process, including rounding the results. The session concludes with a check for understanding.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What information is needed to find the components of a vector?

Magnitude and speed

Angle and speed

Magnitude and direction

Direction and speed

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

Tangent

Sine

Cotangent

Cosine

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to set the calculator to degree mode?

To simplify the process

To save battery life

To increase calculation speed

To ensure accurate angle measurements

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of the horizontal component when the magnitude is 6 and the angle is 115 degrees?

3.2

0.5

-2.53

5.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the approximate value of the vertical component when the magnitude is 6 and the angle is 115 degrees?

5.4

-2.53

3.2

0.5