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In the product FqυBF→=q(υ→×B→) = qυBiBjBkqυ→×(Bi^+Bj^+B0k^) For q=1 and υijkυ→=2i^+4j^+6k^ and FijkF→=4i^-20j^+12k^ What will be the complete expression for BB→? -

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Question

In the product

`overset(->)("F") = "q"(overset(->)(υ) xx overset(->)("B"))`

= `"q"overset(->)(υ) xx ("B"overset(^)("i") + "B" overset(^)("j") + "B"_0overset(^)("k"))`

For q = 1 and `overset(->)(υ) = 2overset(^)("i") + 4overset(^)("j") + 6overset(^)("k")` and

`overset(->)("F") = 4overset(^)("i") - 20overset(^)("j") + 12overset(^)("k")`

What will be the complete expression for `overset(->)("B")`?

Options

  • `8overset(^)("i") + 8overset(^)("j") - 6overset(^)("k")`

  • `6overset(^)("i") + 6overset(^)("j") - 8overset(^)("k")`

  • `-8overset(^)("i") - 8overset(^)("j") - 6overset(^)("k")`

  • `-6overset(^)("i") - 6overset(^)("j") - 8overset(^)("k")`

MCQ

Solution

`underline(-6overset(^)("i") - 6overset(^)("j") - 8overset(^)("k"))`

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