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notka56 [123]
3 years ago
12

You are given a vector A = 125i and an unknown vector B that is perpendicular to A. The cross-product of these two vectors is A

× B = 98k.
What is the y-component of vector B?
Physics
1 answer:
Elena L [17]3 years ago
4 0

Answer:

  B_{y} = 0.784

Explanation:

The vector product of two vectors is

      A = Aₓ i ^ + A_{y} j ^

      B = Bₓ i ^ + B_{y} j ^

the cross product is

    A xB = \left[\begin{array}{ccc}i&j&k\\A_{x}&A_{y}&0\\B_{x}&B_{y}&0\end{array}\right]

   A x B =i^   + j^    + k^ (Aₓ B_{y} + A_{y} Bₓ)

     

is the result they give is

       A x B = 98 k ^

           

tells us that Aₓ = 125, we substitute

       98 = 125 B_{y} - Bₓ 0

       B_{y} = 98/125

       B_{y} = 0.784

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