Learn how to determine the unit vector when given a vector with i and j

Learn how to determine the unit vector when given a vector with i and j

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

Created by

Quizizz Content

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The video tutorial explains how to determine a unit vector from a given vector. It starts by introducing the concept of unit vectors and the importance of rewriting vectors in component form. The tutorial then demonstrates how to calculate the magnitude of a vector using the formula involving the square root of the sum of squares of its components. Finally, it shows how to divide the original vector by its magnitude to obtain the unit vector, providing a step-by-step calculation to reach the final result.

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5 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the first step in determining the unit vector from a given vector?

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2.

OPEN ENDED QUESTION

3 mins • 1 pt

How do you express the vector in component form?

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3.

OPEN ENDED QUESTION

3 mins • 1 pt

What formula is used to calculate the magnitude of a vector?

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4.

OPEN ENDED QUESTION

3 mins • 1 pt

Calculate the magnitude of the vector (3, -4).

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5.

OPEN ENDED QUESTION

3 mins • 1 pt

What is the final unit vector obtained from the vector (3, -4)?

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