How to find the direction of a vector as a linear combination

How to find the direction of a vector as a linear combination

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial explains how to represent vectors as AI plus BJ and find the directional angle using the tangent function. It demonstrates calculating Theta by taking the inverse tangent of a ratio, resulting in a 45-degree angle in the first quadrant. The tutorial concludes with a confirmation of the angle's correctness.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the general form of a vector as described in the video?

A divided by B

A times B

A plus B

AI plus BJ

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which trigonometric function is used to find the directional angle of a vector?

Sine

Cosine

Tangent

Cotangent

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the tangent of an angle is 1, what is the angle in degrees?

30 degrees

45 degrees

60 degrees

90 degrees

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In which quadrant is the vector located if its directional angle is 45 degrees?

First quadrant

Second quadrant

Third quadrant

Fourth quadrant

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the inverse tangent of 1?

90 degrees

60 degrees

45 degrees

30 degrees