The video tutorial explains how to find the direction of a vector by calculating the angle Theta in relation to the X-axis. It covers the use of trigonometric functions, particularly tangent, to determine the angle when given vector components. The tutorial includes step-by-step examples, addresses common mistakes with inverse tangent, and emphasizes the importance of using the unit circle for accurate calculations. The video concludes with practical examples and tips for avoiding errors.

What is the primary focus when determining the direction of a vector?

• The length of the vector

• The terminal point of the vector

• The angle Theta with respect to the X-axis

• The initial point of the vector

How do you find the angle Theta using the tangent function?

• By using the sine function

• By taking the tangent of Theta as V2 over V1

• By dividing V1 by V2

• By calculating the magnitude of the vector

What is the angle Theta when the tangent is equal to 1?

• 90 degrees

• 60 degrees

• 45 degrees

• 30 degrees

In which quadrant is a vector with negative X and Y components located?

• First quadrant

• Second quadrant

• Fourth quadrant

• Third quadrant

What is the reference angle for a vector in the third quadrant with a tangent of sqrt 3 / 3?

• 30 degrees

• 60 degrees

• 90 degrees

• 120 degrees

What is the range of the inverse tangent function?

• -360 to 360 degrees

• 0 to 360 degrees

• -90 to 90 degrees

• -180 to 180 degrees

How do you adjust the angle calculation for a vector in the second quadrant using inverse tangent?

• Subtract from 180 degrees

• Add 90 degrees

• Subtract 90 degrees

• Add 180 degrees