page 22.
group is a zero vector, you can see from the definitions I have given that it can be eliminated right away; so we'll just take the case where they're all non-zero. Suppose
vector A, vector B, vector C, vector D, and vector E
determine a space and also
vector aA + vector bB + + vector cC + vector dD = vector o
determine a space and also vector aA + vector bB + vector cC + vector dD = vector o
(where vector o represents the zero vector), or
vector D = [[I'm unsure how to appropriately represent this in plain words; it shows negative vector fractions (?)

page 22.
group is a zero vector, you can see from the definitions I have given that it can be eliminated right away; so we'll just take the case where they're all non-zero. Suppose
vector A, vector B, vector C, vector D, and vector E
determine a space and also
vector aA + vector bB + + vector cC + vector dD = vector o
determine a space and also vector aA + vector bB + vector cC + vector dD = vector o
(where vector o represents the zero vector), or
vector D = [[I'm unsure how to appropriately represent this in plain words; it shows negative vector fractions (?)