If #\vec{i}# is in standard position with terminal point (1, 5) and #\vec{j}# is in standard position with terminal point (-3, 1), what is the coordinate of the terminal point of the resultant vector?

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If #\vec{i}# is in standard position with terminal point (1, 5) and #\vec{j}# is in standard position with terminal point (-3, 1), what is the coordinate of the terminal point of the resultant vector?

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Answer 1 · 2014-12-27T23:40:20

Reaultant vector #vecr=(-2,6)#
You simply add algebrically the components of the two vectors, giving:
#vecr=(1-3,5+1)=(-2,6)#
Graphically:
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If #\vec{i}# is in standard position with terminal point (1, 5) and #\vec{j}# is in standard position with terminal point (-3, 1), what is the coordinate of the terminal point of the resultant vector?

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