Trigonometric Functions and Vectors

The video tutorial explains how to find the components of a vector using its magnitude and angle with the positive x-axis. It covers the calculation of x and y components using trigonometric functions, specifically cosine and sine, and demonstrates the use of reference triangles and the unit circle to determine these values. The tutorial also includes scalar multiplication of vectors and concludes with a summary of the methods used.

What is the magnitude of the vector given in the problem?

• 60

• 24

• 48

• 36

Which axis does the vector make an angle with?

• Positive y-axis

• Positive x-axis

• Negative y-axis

• Negative x-axis

What is the reference angle used for the vector?

• 90 degrees

• 60 degrees

• 30 degrees

• 120 degrees

What is the cosine of 210 degrees using the reference triangle?

• 1/2

• -1/2

• √3/2

• -√3/2

What is the sine of 210 degrees using the reference triangle?

• -√3/2

• 1/2

• -1/2

• √3/2

What is the x-component of vector p after scalar multiplication?

• 18√3

• -18√3

• 36√3

• -36√3

What is the y-component of vector p after scalar multiplication?

• -36

• 18

• -18

• 36

How many twos are there in 36 when simplifying the scalar multiplication?

• 18

• 12

• 9

• 24

What is the cosine of 210 degrees according to the unit circle?

• -√3/2

• 1/2

• -1/2

• √3/2

What is the sine of 210 degrees according to the unit circle?

• -√3/2

• -1/2

• 1/2

• √3/2