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Q.

If a¯=2i¯3j¯4k¯,b¯=i¯+4j¯2k¯, c¯=3i¯j¯+4k¯ then [a¯×b¯    b¯×c¯    c¯×a¯]=  

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a

12100

b

4900

c

8100

d

6400

answer is D.

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Detailed Solution

[a¯×b¯   b¯×c¯    c¯×a¯]=[a¯b¯c¯]2=(110)2=12100 

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If a¯=2i¯−3j¯−4k¯,b¯=i¯+4j¯−2k¯, c¯=3i¯−j¯+4k¯ then [a¯×b¯    b¯×c¯    c¯×a¯]=