Question 91467
First calculate *[Tex \Large 2\v{a}]


To multiply the scalar 2 and the vector *[Tex \LARGE <7,4>] simply multiply the scalar by each component like this:



*[Tex \LARGE 2<7,4>] Start with the given expression


*[Tex \LARGE <2*7,2*4>] Multiply the number 2 by each component of the vector


*[Tex \LARGE <14,8>] Simplify


So *[Tex \LARGE 2\v{a}=<14,8>]



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



To subtract the vectors *[Tex \LARGE <14,8>] and *[Tex \LARGE <2,3>] simply subtract each component like this:


*[Tex \LARGE <14,8>-<2,3>] Start with the given expression


*[Tex \LARGE <14-2,8-3>] Subtract each component


*[Tex \LARGE <12,5>] Combine like terms


So  *[Tex \LARGE 2\v{a}-\v{b}=<12,5>]