Vectors

Question 1

What can vectors be represented as?

Answer 1

A list of numbers, functions or ways of representing a point in space.

Question 2

Question 3

Question 4

What is the meaning of scalar?

Answer 4

A real value used to multiply a vector to shorten/lengthen it or change its direction.

Question 5

How do you reverse a 2D vector?

Answer 5

By multiplying it by -1.

Question 6

How do you calculate a dot product?

Answer 6

Question 7

What is the significance of dot product?

Answer 7

Finds the angle between two vectors.

Tells you whether the vectors point in the same direction.
• positive - point in the same direction (angle < 90 degrees)
• negative - point in opposite directions
• zero - perpendicular (no similarity in direction)

Question 8

What is the convex combination of two vectors?

Answer 8

It allows you to create a new vector which falls inside the vector space of two other vectors.

Question 9

What is the expression for convex combination?

Answer 9