Master How to determine the angle of a vector

The video tutorial explains how to determine the direction of a vector using trigonometry, focusing on the tangent function. It covers the process of sketching vectors, calculating angles, and handling cases where the tangent is undefined. The tutorial includes examples to illustrate these concepts and emphasizes the importance of understanding reference angles and using calculators correctly.

What is the primary trigonometric function used to determine the direction of a vector?

• Cotangent

• Tangent

• Cosine

• Sine

When using a calculator to find the angle of a vector, which mode should it be set to?

• Radian

• Degree

• Gradient

• Decimal

If the tangent of an angle is undefined, what is a possible angle measurement?

• 270 degrees

• 90 degrees

• 360 degrees

• 180 degrees

What is the angle of a vector with components (0, -2)?

• 360 degrees

• 180 degrees

• 270 degrees

• 90 degrees

What is the angle of a vector with components (0, 1)?

• 270 degrees

• 0 degrees

• 90 degrees

• 180 degrees

How do you convert a negative angle to a positive angle using reference angles?

• Add 90 degrees

• Subtract from 360 degrees

• Add 180 degrees

• Subtract from 180 degrees

If a vector has components (-6, 2), what is the reference angle?

• 63.43 degrees

• 26.57 degrees

• 18.43 degrees

• 45 degrees

What is the angle of a vector with components (4, -2) in positive terms?

• 153.43 degrees

• 26.57 degrees

• 333.43 degrees

• 206.57 degrees

What is the angle of a vector with components (3, 0)?

• 180 degrees

• 0 degrees

• 90 degrees

• 270 degrees

What is the angle of a vector with components (-1, -2) after adjusting for the reference angle?

• 63.43 degrees

• 333.43 degrees

• 243.43 degrees

• 161.57 degrees