Learning to find the angle between two vectors

Learning to find the angle between two vectors

Assessment

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Mathematics

11th Grade - University

Hard

05:42

7 questions

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1.

Multiple Choice

30 sec

1 pt

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

cosine of Theta equals U dot V divided by magnitude of U times magnitude of V

tangent of Theta equals U dot V divided by magnitude of U times magnitude of V

sine of Theta equals U cross V divided by magnitude of U times magnitude of V

cosine of Theta equals U cross V divided by magnitude of U times magnitude of V

2.

Multiple Choice

30 sec

1 pt

Which operation is used to calculate the dot product of two vectors?

Addition of corresponding components

Multiplication of corresponding components and summing them

Subtraction of corresponding components

Division of corresponding components

3.

Multiple Choice

30 sec

1 pt

How do you calculate the magnitude of a vector U with components U1 and U2?

U1 - U2

sqrt(U1^2 + U2^2)

U1 + U2

U1 * U2

4.

Multiple Choice

30 sec

1 pt

What is the next step after finding the dot product and magnitudes to determine the angle between vectors?

Use sine inverse

Use cosine inverse

Use tangent inverse

Use secant inverse

5.

Multiple Choice

30 sec

1 pt

What is the importance of using degree mode in the calculator for this problem?

It helps in finding the dot product

It ensures the angle is calculated in degrees

It ensures the angle is calculated in radians

It is not important

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