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Hello.
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So it is given to us in the question that r vector equals xi plus y j plus zk.
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Now we have to prove that del crows, a cross are divided by two equals a vector.
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Now it is given to us in the question that a vector is a constant vector.
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Therefore we will assume that a vector equals a xi plus a yj.
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Plus a z k, where a x, ay, and a z are the components of a vector along the xy and z axis respectively.
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Now first we will be calculating a cross r.
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Therefore, a cross r equals determinant of i, j, k, ax, a, y, k, ax, ay, and y, and, and a.
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Z and r is x, y and z.
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Now taking the determinant, we get the answer as a cross r equals i multiplied by ay z minus az y plus j multiplied by az minus az y plus j multiplied by az x minus az...