Learn to find the angle between two vectors

Learn to find the angle between two vectors

Assessment

Interactive Video

Mathematics

9th - 10th Grade

Hard

Created by

Quizizz Content

FREE Resource

The video tutorial explains how to find the angle between two vectors using the cosine formula. It begins with an introduction to the concept and the use of the unit circle to understand vector components. The tutorial then covers the calculation of the dot product and magnitude of vectors, followed by the application of the cosine formula to determine the angle. The lesson concludes with a discussion on the restrictions of the cosine function and test instructions.

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7 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the cosine of π / 4 and how can it be represented in terms of the unit circle?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

Explain how to find the angle between two vectors using the cosine formula.

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the dot product of the vectors U and V as described in the text?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you calculate the magnitude of a vector, and what is the magnitude of vector U?

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What angle corresponds to a cosine value of -sqrt(2)/2?

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6.

OPEN ENDED QUESTION

3 mins • 1 pt

Why is 4π/3 not considered a valid answer for the angle in this context?

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7.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the significance of the restrictions on the cosine function's domain?

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