Vectors

Question 1

Commutative

Answer 1

Same result no matter the order of quantities involved

Question 2

Associative

Answer 2

The sum or product of three or more numbers does not change if they are grouped in a different way

Question 3

A set of vectors is linearly independent if

Answer 3

No vector in the set can be decomposed into a linear combinations of the other vectors

Question 4

Anticommutative

Answer 4

Swapping the order of two arguments in an operation results in the inverse of the original result

Question 5

Distributive over addition

Answer 5

Multiplying a sum by a number is the same as multiplying each number in the sum by the number, and then adding the products

Question 6

Vector addition

Answer 6

-commutative
-associative

Question 7

Scalar product is

Answer 7

-commutative
-distributive for addition

Question 8

Vector cross product is

Answer 8

-Anticommutative
-Distributive over addition
-Non-associative

Question 9

D’Alembert ratio test

Answer 9

-If p < 1 the series of converges absolutely
-If p > 1 the series is divergent
-If p = 1 the test is inconclusive

Question 10

Orthogonal

Answer 10

Perpendicular