Question

What is the component form of resultant of 4b⃗ −2aa = (7 , -5)b = ( -4 , 4)

Answer 1

`\langle-30,26\rangle`

1) Since we have this expression, let's do it in parts.

`\begin{gathered} 4\langle-4,4\rangle-2\langle7,-5\rangle \\ x-component=4(-4)-2(7)=-16-14=-30 \\ y-component=4(4)-2(-5)=16+10=26 \\ \end{gathered}`

Note that since each vector has two components x, and y. The resultant will be the vector:

`\langle-30,26\rangle`