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Question

If |a|=|b|=|c|=2 and ab=bc=ca=2, then [a b c]cos45 is equal to

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Solution

[a b c]2=∣ ∣ ∣ ∣a.aa.ba.cb.ab.bb.cc.ac.bc.c∣ ∣ ∣ ∣

=∣ ∣422242224∣ ∣=32

[a b c]=42

[a b c]cos 45=4

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