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Suppose a0a¯=0¯: If abacandabaca¯.b¯=a¯.c¯anda¯×b¯=a¯×c¯, then is bcb¯=c¯? - Mathematics and Statistics

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Question

Suppose `bar"a" = bar"0"`:

If `bar"a".bar"b" = bar"a".bar"c" and bar"a" xx bar"b" = bar"a" xx bar"c"`,  then is `bar"b" = bar"c"`?

Sum
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Solution

Take `bar"a" = bar"0", bar"b" = hat"i", bar"c" = hat"j"`

Then `bar"a".bar"b" = bar"a".bar"c" = 0 and bar"a" xx bar"b" = bar"a" xx bar"c" = bar"0"` , but `bar"b" ne bar"c"`

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Notes

The answer in the textbook is incorrect.

  Is there an error in this question or solution?
Chapter 5: Vectors - Miscellaneous exercise 5 [Page 192]

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