Question

Given vectors a=(1,2)b=(2,1) ,find 3a-3b

Answer 1

To find 3a - 3b, we need to perform scalar multiplication on vectors a and b and then subtract them.

Scalar multiplication of a vector by a scalar is just multiplying each component of the vector by that scalar.

So, we have:

3a = 3(1, 2) = (3, 6)
3b = 3(2, 1) = (6, 3)

Now, we can subtract 3b from 3a to get:

3a - 3b = (3, 6) - (6, 3) = (3-6, 6-3) = (-3, 3)

Therefore, 3a - 3b = (-3, 3).