Question

Given that A+B=R and A+2B is perpendicular to A. Then

Answer 1

Answer:

Step-by-step explanation:

Given  

Given that A+B=R and A+2 B is perpendicular to A. Then  relation between b and r.

Given a + 2 b is perpendicular to a

By property of vector dot product between a + 2 b and a is equal to 0.

Therefore (a + 2 b).a = 0

        Now a^2 + 2 ab = 0

But a + b = r

      a = r – b

So (r – b)^2 + 2b(r – b) = 0

    r ^2 – 2 r b + b^2 + 2b.r – 2b^2 = 0

     r^2 – b^2 = 0

 (r – b)(r + b) = 0

  So r = ± b  

Answer 2

Answer:

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Step-by-step explanation:

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