What conclusion can you draw about vector b if vector a + vector b =vector a - vector b
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Given that,
A + B = A - B
We know that,
A + B = √(A² + B² + 2ABcosФ)
A - B = √(A² + B² - 2ABcosФ)
Hence,
√(A² + B² + 2ABcosФ) = √(A² + B² - 2ABcosФ)
A² + B² + 2ABcosФ = A² + B² - 2ABcosФ
4ABcosФ = 0
cosФ = 0
Ф = 90°
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