Calculating Vector Magnitude and Direction

The video tutorial by Mark Heredos on mathguide.com covers the basics of vectors, focusing on calculating their magnitude and direction. It includes two examples: the first demonstrates how to calculate the magnitude using the Pythagorean theorem and determine the direction using trigonometry, while the second example provides a quicker calculation of these properties. The tutorial emphasizes understanding vector components and using trigonometric functions to find angles.

What are the horizontal and vertical components of the first vector discussed?

• 5 and -7

• -5 and 7

• 5 and 7

• -5 and -7

What theorem is used to calculate the magnitude of a vector?

• Binomial theorem

• Euler's theorem

• Pythagorean theorem

• Theorem of cosines

What is the magnitude of the first vector?

• 8.6

• 9.1

• 7.5

• 8.0

Which trigonometric function is used to determine the direction of the vector?

• Sine

• Cosine

• Tangent

• Cotangent

What is the reference angle for the direction of the first vector?

• 45 degrees

• 54.5 degrees

• 30 degrees

• 60 degrees

How do you convert a reference angle to a standard trigonometric angle in the context of vector direction?

• Subtract from 360 degrees

• Add 180 degrees

• Add 90 degrees

• No conversion needed

What is the standard trigonometric angle for the first vector?

• 224.5 degrees

• 214.5 degrees

• 234.5 degrees

• 244.5 degrees

What are the horizontal and vertical components of the second vector discussed?

• 11 and 8

• 11 and -8

• -11 and -8

• -11 and 8

What is the magnitude of the second vector?

• 13.6

• 14.6

• 15.6

• 12.6

What is the standard trigonometric angle for the second vector?

• 314 degrees

• 324 degrees

• 304 degrees

• 334 degrees