Finding the angle of a vector as a linear combination

The video tutorial explains how to express vectors as components AI and BJ, and how to find the direction of an angle using the tangent function. It demonstrates calculating the inverse tangent with a calculator to find the angle in degrees. The tutorial emphasizes converting the angle to a positive value, especially when it lies in the fourth quadrant. The session concludes with a brief setup for future learning.

How can a vector be expressed in terms of AI and BJ?

• By using the tangent function

• By using the sine and cosine functions

• By using AI plus BJ

• By using the Pythagorean theorem

What is the formula to find the direction of an angle using tangent?

• Tangent of Theta equals B minus A

• Tangent of Theta equals A times B

• Tangent of Theta equals B over A

• Tangent of Theta equals A over B

What tool is used to calculate Theta in degrees?

• A compass

• A calculator

• A ruler

• A protractor

How do you find the positive angle from a reference angle?

• Divide the reference angle by 2

• Multiply the reference angle by 2

• Subtract the reference angle from 360 degrees

• Add 90 degrees to the reference angle

In which quadrant is the angle if the positive angle is found by subtracting from 360 degrees?

• 3rd quadrant

• 4th quadrant

• 2nd quadrant

• 1st quadrant