The correct answer is tab.
Answer:
B. Tracing a sequence of events resulting in a positive outcome
Explanation:
Answer B
Correct. Writers frequently use certain recognizable approaches to develop and organize the reasoning of their arguments. In the opening lines of the passage, the author employs such a method of development when he traces a sequence of events that he believes have culminated in a positive outcome: the First World War happened; the war provided a cautionary example; world leaders have been trying to prevent another outbreak of war; in the end, they succeed in devising the “greatest preventive measures ever adopted by nations.” A method of development provides an audience with the means to trace a writer’s reasoning in an argument. In this case, the author’s approach to organizing his argument suggests that he understands recent peace preservation efforts in terms of a temporal chain of events—one in which each event is linked to the next by a causal logic.
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Solution. To check whether the vectors are linearly independent, we must answer the following question: if a linear combination of the vectors is the zero vector, is it necessarily true that all the coefficients are zeros?
Suppose that
x 1 ⃗v 1 + x 2 ⃗v 2 + x 3 ( ⃗v 1 + ⃗v 2 + ⃗v 3 ) = ⃗0
(a linear combination of the vectors is the zero vector). Is it necessarily true that x1 =x2 =x3 =0?
We have
x1⃗v1 + x2⃗v2 + x3(⃗v1 + ⃗v2 + ⃗v3) = x1⃗v1 + x2⃗v2 + x3⃗v1 + x3⃗v2 + x3⃗v3
=(x1 + x3)⃗v1 + (x2 + x3)⃗v2 + x3⃗v3 = ⃗0.
Since ⃗v1, ⃗v2, and ⃗v3 are linearly independent, we must have the coeffi-
cients of the linear combination equal to 0, that is, we must have
x1 + x3 = 0 x2 + x3 = 0 ,
x3 = 0
from which it follows that we must have x1 = x2 = x3 = 0. Hence the
vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
Answer. The vectors ⃗v1, ⃗v2, and ⃗v1 + ⃗v2 + ⃗v3 are linearly independent.
That is true because if you decide (2+8)=11
