`||bbv|| = 3, theta = 0^@` Find the component form of `bbv` given its magnitude and the angle it makes with the positive x-axis.

The magnitude of a vector `u = a*i + b*j,` such that:

`|u| = sqrt(a^2+b^2)`

Since the problem provides the magnitude `|v| = 3` , yields:

`3 = sqrt(a^2+b^2)`

The direction angle of the vector can be found using the formula, such that:

`tan theta = b/a`

Since the problem provides the direction angle `theta = 0^o` , yields:

`tan 0^o = b/a => b/a = 0 => b = 0, a!=0`

Replacing 0 for b in equation `3 = sqrt(a^2+b^2)` yields:

`3 = sqrt(a^2+0^2) => 9 = a^2 => a = +-3`

Hence, the component form of the vector v can be `<-3,0>` or` <3,0>.`