Vectors

Question 1

What is the difference between a scalar and a vector?

Answer 1

Vectors have direction and magnitude, while scalar is a singular value

Question 2

How can vectors be represented?

Answer 2

Dictionary
List
Position on grid
Arrow
A set of functions

Question 3

What is the effect of multiplying a vector by a scalar value called?

Answer 3

Scaling

Question 4

If a convex combination of two is calculated using the formula au + bv what rules dictate the possible values of a and b?

Answer 4

a + b = 1 and a and b must be between 0 and 1

Question 5

What is the significance of the value of any convex combination of two vectors

Answer 5

Straight line between the two

Question 6

What is the purpose of calculating the dot product of two vectors?

Answer 6

Estimating the angle