For two vectors A⃗ and B⃗, |A⃗+B⃗|=10 and |A⃗-B⃗|=6. If |A⃗|=|B⃗|, find the magnitude of each vector.
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Question

For two vectors A⃗ and B⃗, |A⃗+B⃗|=10 and |A⃗−B⃗|=6. If |A⃗|=|B⃗|, find the magnitude of each vector.

G1 Physics · Accepted Answer

100+36=2(A²+B²)=4A² because A=B. Thus A²=34 and A=B=√34.