Two vectors satisfy A⃗ + B⃗ = 8î + 6ĵ and A⃗ - B⃗ = 2î + 4ĵ. Find B⃗.
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Two vectors satisfy A⃗ + B⃗ = 8î + 6ĵ and A⃗ − B⃗ = 2î + 4ĵ. Find B⃗.

G1 Physics · Accepted Answer

Subtract the second equation from the first: 2B⃗=6î+2ĵ, hence B⃗=3î+ĵ.