Show with example that if x in the first quadrant of the ℝ 2 ( i.e. both coordinates of x are positive) and y is a vector in third quadrant of ℝ 2 (i.e. both coordinates of y are negative) then the sum x + y could occur in any of the four quadrants.
Show with example that if x in the first quadrant of the ℝ 2 ( i.e. both coordinates of x are positive) and y is a vector in third quadrant of ℝ 2 (i.e. both coordinates of y are negative) then the sum x + y could occur in any of the four quadrants.
Solution Summary: The author explains that the sum x+y could occur in any of the four quadrants.
Show with example that if
x
in the first quadrant of the
ℝ
2
( i.e. both coordinates of
x
are positive) and
y
is a vector in third quadrant of
ℝ
2
(i.e. both coordinates of
y
are negative) then the sum
x
+
y
could occur in any of the four quadrants.
Quantities that have magnitude and direction but not position. Some examples of vectors are velocity, displacement, acceleration, and force. They are sometimes called Euclidean or spatial vectors.
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