Find the angle between two vectors

Find the angle between two vectors

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the application of the dot product, calculation of vector magnitudes, and the process of finding the cosine of theta. The instructor demonstrates these concepts with step-by-step calculations and emphasizes careful use of a calculator to avoid errors. The tutorial concludes with rounding the calculated angle to the nearest degree.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of the dot product calculation in the example provided?

11

15

9

13

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is the magnitude of a vector calculated?

By adding the components

By subtracting the components

By multiplying the components

By squaring the components and taking the square root of their sum

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the magnitude of the vector V in the example?

sqrt 20

sqrt 25

sqrt 29

sqrt 13

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which formula is used to find the angle between two vectors?

Secant formula

Cosine formula

Tangent formula

Sine formula

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the angle between the vectors in the example, rounded to the nearest degree?

60 degrees

45 degrees

55 degrees

50 degrees