Question

Find the x and y components of r=2a-b if a has components ax=16.6 ay=12.9 where b has components bx=21.5 and by=6.64

Answer 1

Let the vectors $\mathbf{a}$ and $\mathbf{b}$ be the following:

$$\mathbf{a} = (16.6, 12.9)\\ \mathbf{b} = (21.5, 6.64)$$

Then, vector $\mathbf{r}$ will be:

$$\mathbf{r} = 2\mathbf{a}-\mathbf{b} = 2\cdot(16.6, 12.9) - (21.5, 6.64) = (33.2, 25.8)- (21.5, 6.64)=\\ =(11.7, 19.16)$$

Answer. $r_x = 11.7$, $r_y = 19.16$.