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If a and b are perpendicular vectors |a+b|=13 and |a|=5 what is value of |b|=?

If a and b are perpendicular vectors |a+b|=13 and |a|=5 what is value of |b|=?

Grade:12

1 Answers

Arun
25750 Points
6 years ago
Dear student
 
(A +B). (A+ B) = A.A + B.B + A.B + B.A
Now
|A+B|² = |A |² + |B |²  {A.B = B.A = 0}
169 = 25 + | B|²
|B| = 12
 
Regards
Arun (askIITians forum expert)

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