How to find the magnitude and direction of a given vector

How to find the magnitude and direction of a given vector

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate the magnitude and directional angle of a vector. It begins with an introduction to directional angles and linear combinations, followed by a detailed explanation of how to calculate the magnitude of a vector using its components. The tutorial then covers the simplification of square roots involved in the magnitude calculation. Finally, it demonstrates how to find the directional angle using the tangent function and its inverse, providing both negative and positive angle interpretations.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the formula for the magnitude of vector V?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you simplify the square root of 72?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the relationship between the tangent of an angle and the components of a vector?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you find the directional angle Theta from the components V1 and V2?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final value of Theta in degrees after considering the positive direction?

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