Finding the angle of a vector as a linear combination

Finding the angle of a vector as a linear combination

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to express vectors as components AI and BJ, and how to find the direction of an angle using the tangent function. It demonstrates calculating the inverse tangent with a calculator to find the angle in degrees. The tutorial emphasizes converting the angle to a positive value, especially when it lies in the fourth quadrant. The session concludes with a brief setup for future learning.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula used to find the angle Theta in relation to the sides A and B?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

What tools or methods are suggested for calculating the tangent of Theta?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the reference angle for Theta?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the value of Theta after calculating the angle in the fourth quadrant?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain the significance of finding the positive angle in this context.

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