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Prove by vector method that (a1b1 + a2b2 + a3b3)^2 ≤ (a1^2 + a2^2 + a3^2)(b1^2 + b2^2 + b3^2)

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in Vector algebra by (55.0k points)

Prove by vector method that (a1b1 + a2b2 + a3b3)2 ≤ (a12 + a22 + a32)(b12 + b22 + b32)

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Let vector a = a1i + a2j +a3k and  vector b = b1i + b2j + b3k.

Then

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