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  • 19-11-2021
  • Physics
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What is the value of the magnitude of the difference of vectors A and B, |A - B|?

Respuesta :

Saramunnawarnaik Saramunnawarnaik
  • 19-11-2021

Answer:

Let, θ be the angle between vector a and vector b.

So, the angle between vector a and vector (-b) must be (180° - θ).

Magnitude of the difference of vectors a and b

= |a - b|

= Magnitude of the resultant of the vector sum of the vectors a and (-b)

= |{√|a|^2 + |b|^2 + 2 * |a| * |b| * cos (180° - θ)}|

= |{√|a|^2 + |b|^2 - 2 * |a| * |b| * (cos θ)}|.

Explanation:

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