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

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

G1 Physics · Accepted Answer

Adding the two equations gives 2A⃗=10î+10ĵ, hence A⃗=5î+5ĵ.