Vectors Quiz

What are the two main components of a vector?

• Magnitude and direction

• Tail and head

• Length and width

• Speed and velocity

In the context of vectors, what does the term "magnitude" refer to?

• The length of the vector

• The direction of the vector

• The starting point of the vector

• The ending point of the vector

What is the purpose of the "direction" in a vector?

• To indicate the length of the vector

• To show the orientation of the vector

• To mark the starting point of the vector

• To measure the speed of the vector

Which of the following is a correct notation for specifying a 4-vector over R?

• (2.0, 3.14159, -1.0, 2.718281828)

• (2.0, 3.14159, -1.0)

• (2.0, 3.14159, -1.0, 2.718281828, 1.0)

• (2.0, 3.14159)

How can a vector be represented in a programming language?

• As a list of numbers

• As a single number

• As a string

• As a boolean

What is the dictionary representation of a vector useful for?

• Representing a vector as a function

• Representing a vector as a string

• Representing a vector as a boolean

• Representing a vector as a single number

What does the dot product of two vectors find?

• What amount of one vector goes in the direction of anothe

• The sum of two vectors

• The difference between two vectors

• The product of two vectors

What is the convex combination of two vectors u and v?

• An expression of the form αu + βv where α, β ≥ 0 and α + β = 1

• An expression of the form αu - βv where α, β ≥ 0 and α + β = 1

• An expression of the form αu + βv where α, β ≤ 0 and α + β = 1

• An expression of the form αu - βv where α, β ≤ 0 and α + β = 1

What does vector addition achieve?

• Translation

• Rotation

• Scaling

• Reflection

What does scalar-vector multiplication achieve?

• Translation

• Scaling

• Rotation

• Reflection