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) About Me  (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