Without finding the angle between two vectors, we can determine if they are parellel if they are scalar multiples of each other.

That is, if u = kv or v = ku for nonzero value of k since we are simply scaling. The two vectors are ort hogonal if thair dot product is \(0: u \cdot v = 0.\)

Check if they are parallel:

Since

\(v= -\frac{1}{2}u \rightarrow \langle-\frac{10}{4},-\frac{3}{2}\rangle = -\frac{1}{2}(5,3)\)

then u and v are parallel.

That is, if u = kv or v = ku for nonzero value of k since we are simply scaling. The two vectors are ort hogonal if thair dot product is \(0: u \cdot v = 0.\)

Check if they are parallel:

Since

\(v= -\frac{1}{2}u \rightarrow \langle-\frac{10}{4},-\frac{3}{2}\rangle = -\frac{1}{2}(5,3)\)

then u and v are parallel.