Question

# Сalculate whetger the vectors u and v are parallel, orthogonal or neither. u=langle5,3 rangle, u= langle frac{10}{4},- frac{3}{2} rangle

Polynomial arithmetic
Сalculate whetger the vectors u and v are parallel, orthogonal or neither.
$$u=\langle5,3 \rangle, u= \langle \frac{10}{4},- \frac{3}{2} \rangle$$

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 $$0: u \cdot v = 0.$$
$$v= -\frac{1}{2}u \rightarrow \langle-\frac{10}{4},-\frac{3}{2}\rangle = -\frac{1}{2}(5,3)$$