Question

Find a+b,2a+3b,IaI, and Ia-bI. a[2, -4, 4], b=[0, 2, -1]

Answer 1

a+b = [2, -2, 2]

a+3b = [2,2,1]

|a| = 6

`|a-b|=√(65)`

Explanation:

`a+b = [2+0,-4+2,4-1]=[2,-2,2]`

`a+3b = [2+0,-4+6,4-3]=[2,2,1]`

`|a|=]sqrt{4+16+16}=√(36)=6`

`|a-b|=|√((2-0)^2+(-4-2)^2+(4+1)^2)|=√(4+36+25)=√(65)`