Which of the vectors in the graph below is the negative of the vector v?
A
d
c
X
h
A. a
B. b
ОООС
C. d
O D.
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The vector that is the negative of vector v is vector b ([tex]\vec b[/tex]). The correct option is B. [tex]\vec b[/tex]
From the question, we are to determine the negative of vector v
The negative of a vector represents the direction opposite to the reference direction. In other words, a vector and its negatives have the same magnitude but are opposite in direction.
Among the vectors shown in the diagram, vector b ([tex]\vec b[/tex]) has the same magnitude as vector v ([tex]\vec v[/tex]) but it is the opposite direction to vector v ([tex]\vec v[/tex])
That is,
[tex]\vec b = - \vec v[/tex]
Hence, the vector that is the negative of vector v is vector b ([tex]\vec b[/tex]). The correct option is B. [tex]\vec b[/tex]
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