Give the VECTOR we a CHANCE to need to DISCOVER is A=ai+bj let the vector given is B=3i-4j for 2 VECTORS to be opposite the spot item should be 0. A.B=0 =>(ai+bj).(3i-4j)=0 =>3a-4b=0 =>b=3a/4 |A|=√(a^2+b^2 ) =>a2+b2=100 =>a2+9a2/16=100 =>a=+-8 b=+-6 A=8i+6j or - 8i-6j or 8i-6j or - 8i+6j
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