Master how to find if two vectors are orthagonal, parallel or neither

The video tutorial explains how to determine if two vectors are orthogonal, parallel, or neither. It introduces the concept of using the dot product to check for orthogonality and compares slopes to determine parallelism. The tutorial includes several examples to illustrate these concepts, providing step-by-step calculations and explanations. The video concludes with a summary of the methods used to identify vector relationships.

What is the primary method to determine if two vectors are orthogonal?

• Calculate the cross product

• Compare their magnitudes

• Use the cosine of the angle between them

• Check if their dot product is zero

If two vectors have the same slope, what can be concluded about them?

• They have the same magnitude

• They are orthogonal

• They are parallel

• They are neither orthogonal nor parallel

How do you calculate the dot product of two vectors U and W?

• Subtract their components

• Multiply corresponding components and sum the results

• Add their components

• Multiply their magnitudes

What is the result of the dot product if two vectors are orthogonal?

• Undefined

• Zero

• Negative

• Positive

Which of the following is a method to check if vectors are parallel?

• Compare their magnitudes

• Use the sine of the angle between them

• Check if their slopes are equal

• Calculate the cross product

In the example with vectors 3, 15 and W -1, 5, what was concluded?

• The vectors have the same magnitude

• The vectors are parallel

• The vectors are orthogonal

• The vectors are neither orthogonal nor parallel

What is the significance of a negative result in the dot product calculation?

• The vectors are orthogonal

• The vectors have opposite directions

• The vectors are parallel

• The vectors are neither orthogonal nor parallel