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Question

If a=b+c, then is true that |a|=|b|+|c|? Justify your answer.

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Solution

Given a=b+c

Consider,

b=^i+2^j+3^k

c=3^i^j2^k

a=(b+c)

=4^i+^j+^k

a=4^i+^j+^k

|a|=42+12+12=18

Similarly,
|b|=14

And,

|c|=14

Now,

|b+c|=14+14=214

whish is 18

So,

|a||b|+|c|

Hence, False.

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