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Question

Find the sum of the vectors a=^i2^j+^k=2^i+4^j+5^k and c=^i6^j7^k.

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Solution

Add the vectors a=^i2^j+^k, b=2^i+4^j+5^k and c=^i6^j7^k by writing them in the component form that is

a=1,2,1, b=2,4,5 and c=1,6,7

Then the sum of the vectors can be computed as follows:

a+b+c=12+1,2+46,1+57

=0,4,1

Hence the sum of the vectors is 0,4,1=4^j^k..

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