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Suppose a0a¯=0¯: If abaca¯.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"`, then is `bar"b" = bar"c"` ?

Sum

Solution

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

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

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Chapter 5: Vectors - Miscellaneous exercise 5 [Page 192]

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