Answer to Question #182497 in Physics for Michael Teshome

Question #182497

suppose A=3i-2j and B=-j-aj ,what is the value of a such that A+B=2i

Expert's answer

Add each component of the vectors respectively:

A+B=2i,\\\space\\ (3i-2j)+(-i-aj)=2i,\\ i-j(2+a)=2i.

The last is only possible when

2+a=0, \\ a=-2.

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