SOLUTION: Given vectors a={7,4} and b={2,3}. Find 2a-b.

SOLUTION: Given vectors a={7,4} and b={2,3}. Find 2a-b.

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Question 91467: Given vectors a={7,4} and b={2,3}. Find 2a-b.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
First calculate

To multiply the scalar 2 and the vector

simply multiply the scalar by each component like this:

Start with the given expression

Multiply the number 2 by each component of the vector

Simplify

So

Now subtract <2,3> from <14,8>

To subtract the vectors

and

simply subtract each component like this:

Start with the given expression

Subtract each component

Combine like terms

So

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