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Question

Let vector A point from the origin into the second quadrant of the xy plane and vector B point from the origin into the fourth quadrant. The vector BA must be in which quadrant, (a) the first, (b) the second, (c) the third, or (d) the fourth, or (e) is more than one answer possible ?

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Solution

Answer (D), If we write vector A as,
(Ax,Ay)=(|Ax|,|Ay|)
and vector B as
(Bx,By)=(|Bx|,|By|)
then
BA=(|Bx|(|Ax|),|By||Ay|)=(|Bx|+|Ax|,|By||Ay|)
Which would be in the fourth quadrant.

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