## three vectors A, B, C in three-dimensional space satisfy the following properties || A || = || C || = 5, || B || = 1 <

Question

three vectors A, B, C in three-dimensional space satisfy the following properties

|| A || = || C || = 5,

|| B || = 1

|| A-B + C || = || A + B + C ||

If the angle formed by A and B is π / 8 find the one formed by B and C

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Math
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2021-10-07T18:05:06+00:00
2021-10-07T18:05:06+00:00 1 Answer
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## Answers ( )

Answer:Step-by-step explanation:observe

||a–b+c|| = ||a+b+c||

(a-b+c)² = (a+b+c)²

(a+b+c)² – (a-b+c)² = 0

((a+b+c)+(a-b+c))((a+b+c)–(a-b+c)) = 0

(2a+2c)(2b) = 0

(a+c)b = 0

a•b + c•b = 0

||a||×||b||×cos(π/8) + ||c||×||b||×cos(θ) = 0