Equation C describes the sum of the vectors plotted below.
What is a vector?
A vector is a quantity or phenomena with magnitude and direction that are independent of one another. The phrase also refers to a quantity's mathematical or geometrical representation.
If no vector can be written as a linear combination of the others, a set of vectors is said to be linearly independent.
The given points from the graph is obtained as;
a = (2,1)
b = (3,-2)
Vector, OA = 2x + y
Vector, AB = x - 3 y
From the triangular lawe of the vector addition;
[tex]\rm r= \vec{OA} +\vec{OB}\\\\\ r= 2x+y+x-3y \\\\ r= 3x-2y[/tex]
Hence,option C is correct.
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