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Magnitude of force on a wire along the x-axis in a field given as a vector

The same question, asked 2 times: 22 Apr 2025 S2*, 16 Apr 2026 S1. Every wording below, oldest first.

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  1. Question 1

    22 Apr 2025 S2

    36
    A wire of length LL carries current II along xx - axis. A magnetic field B→=B0(i^−j^−k^)T\overrightarrow{B}=B_{0}(\widehat{i}-\widehat{j}-\widehat{k})T acts on the wire. The magnitude of magnetic force acting on the wire is

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  2. Question 2

    16 Apr 2026 S1

    132
    A wire carrying current 'I' along x axis has length 'L' and it is kept in a magnetic field B(i^+2j^−2k^)B(\hat{i} + 2\hat{j} - 2\hat{k}) T. The magnitude of magnetic force acting on the wire is

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