When will be
| A+B|= |A-B|
Here A and B are vectors.
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Answered by
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Simply square both sides to have
(a+b).(a+b)=(a−b).(a−b) .
a.a+b.b+a.b+b.a=a.a+b.b−a.b
4a.b=0
a⃗ ⋅b⃗ =0
we say a and b are two vectors and a⋅b=0
Projection Theorem: dot product
cosθ=a⋅b/(|a||b|)
If a⋅b=0a⋅b=0, then. cosθ=0⟹θ=π/2 cosθ=0⟹θ=π/2
The vectors a and b are perpendicular to each other.
Hope it helped
(a+b).(a+b)=(a−b).(a−b) .
a.a+b.b+a.b+b.a=a.a+b.b−a.b
4a.b=0
a⃗ ⋅b⃗ =0
we say a and b are two vectors and a⋅b=0
Projection Theorem: dot product
cosθ=a⋅b/(|a||b|)
If a⋅b=0a⋅b=0, then. cosθ=0⟹θ=π/2 cosθ=0⟹θ=π/2
The vectors a and b are perpendicular to each other.
Hope it helped
dimpy14:
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(A+B)=(A-B)
squaring on both sides
a^2+b^2+2*a*b=a^2+b^2-2*a*b
A.B=0
this implies that A and B are perpendicular to each other
squaring on both sides
a^2+b^2+2*a*b=a^2+b^2-2*a*b
A.B=0
this implies that A and B are perpendicular to each other
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