A wire carrying a current I along the positive x-axis has length L. It is kept in a magnetic field $\stackrel{?}{B}=(2\hat{i}+3\hat{j}-4\hat{k})$  T. The magnitude of the magnetic force acting on the wire is:

<p><span contenteditable="false"> <math> <mo>|</mo> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">F</mi> </mrow> </mrow> <mo>? </mo> </mover> <mo>|</mo> <mo>=</mo> <mo>|</mo> <mi mathvariant="normal">I</mi> <mo> (</mo> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">L</mi> </mrow> </mrow> <mo>? </mo> </mover> <mo>×</mo> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">B</mi> </mrow> </mrow> <mo>? </mo> </mover> <mo>)</mo> <mo>|</mo> </math> </span><br>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p><p><span contenteditable="false"> <math> <mtable columnalign="right"> <mtr> <mtd> <mrow></mrow> </mtd> <mtd> <mrow> <mi> </mi> <mo>=</mo> <mo>|</mo> <mi mathvariant="normal">I</mi> <mo> [</mo> <mi mathvariant="normal">L</mi> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">i</mi> </mrow> </mrow> <mi mathvariant="normal">ˆ</mi> </mover> <mo>×</mo> <mo> (</mo> <mn>2</mn> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">i</mi> </mrow> </mrow> <mi mathvariant="normal">ˆ</mi> </mover> <mo>+</mo> <mn>3</mn> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">j</mi> </mrow> </mrow> <mi mathvariant="normal">ˆ</mi> </mover> <mo>-</mo> <mn>4</mn> <mover accent="true"> <mrow> <mrow> <mi mathvariant="normal">k</mi> </mrow> </mrow> <mi mathvariant="normal">ˆ</mi> </mover> <mo>)</mo> <mo>]</mo> <mo>|</mo> </mrow> </mtd> </mtr> <mtr> <mtd> <mrow></mrow> </mtd> <mtd> <mrow> <mi> </mi> <mo>=</mo> <mn>5</mn> <mi mathvariant="normal">I</mi> <mi mathvariant="normal">L</mi> </mrow> </mtd> </mtr> </mtable> </math> </span><br>&lt;!- [endif]-&gt;&lt;!- [endif]-&gt;</p>

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