Given vectors a=<7,4> and b=<2,3>. Find 2a-b?

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- March 31st 2007, 10:35 PMgretchenVector 2
Given vectors a=<7,4> and b=<2,3>. Find 2a-b?

- March 31st 2007, 10:41 PMJhevon
recall that to multiply a vector by a scalar quantity we just multiply each component by the scalar, so

2a = 2<7,4> = <2*7, 2*4> = <14,8>

also recall, that to add or subtract two vectors, we add or subtract the corresponding components:

so 2a - b = 2<7,4> - <2,3> = <14,8> - <2,3> = <(14 - 2), (8 - 3)> = <12,5>