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SOLVED:(II) (a) Show that the cross product of two vectors, 𝐀⃗=Ax 𝐢̂ Ay 𝐣̂ Az 𝐤̂, and 𝐁⃗=Bx 𝐢̂ By 𝐣̂ Bz 𝐤̂ 𝐀⃗ ×𝐁⃗= (Ay Bz-Az By) 𝐢̂ (Az Bx-Ax Bz) 𝐣̂ (Ax By-Ay Bx) 𝐤̂ (b) Then show that the cross product can be written 𝐀⃗ ×𝐁⃗=| 𝐢̂ 𝐣̂ 𝐤̂ Ax Ay Az Bx By Bz| where we use the rules for evaluating a determinant. (Note, however, that this is not really a determinant, but a memory aid.)
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