if A=5 i-j +k and B=2i +3j+4k,find the value of A×B
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Answer:10i^2-3j^2+4k^2+13ij+22ik+jk
Explanation:
AB=(5i-j+k)(2i+3j+4k)
AB=5i(2i+3j+4k)-j(2i+3j+4k)+k(2i+3j+4k) AB=10i^2+15ij+20ik-2ij-3j^2-4jk+2ik +3jk+4k^2
AB=10i^2-3j^2+4k^2+13ij+22ik+jk
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