How to find the direction of the vector

How to find the direction of the vector

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to calculate the magnitude and direction of a vector. It begins with finding the magnitude using the square root of the sum of the squares of the vector components. The tutorial then moves on to determining the direction by calculating the tangent of the angle, using the inverse tangent function to find the angle in degrees. The example provided results in a magnitude of 6√2 and a direction of -45 degrees.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

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

The square root of the sum of the squares of the vector components

The difference between the vector components

The product of the vector components

The sum of the vector components

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If a vector has components V1 = 6 and V2 = -6, what is its magnitude?

12

6√2

6

72

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the simplified form of the magnitude of a vector with components 6 and -6?

72

6√2

12

6

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you find the direction of a vector?

By calculating the sum of its components

By multiplying its components

By using the inverse sine function

By using the inverse tangent function

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle of a vector with components V1 = 6 and V2 = -6?

-45 degrees

90 degrees

315 degrees

45 degrees