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

Question

Сalculate whetger the vectors u and v are parallel, orthogonal or neither.

u = ⟨ 5, 3 ⟩, u = ⟨ \frac{10}{4}, - \frac{3}{2} ⟩

Answer 1

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 \to ⟨ - \frac{10}{4}, - \frac{3}{2} ⟩ = - \frac{1}{2} (5, 3)

then u and v are parallel.

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

Want to know more about Polynomial arithmetic?

Expert Answer

Not exactly what you’re looking for?

Relevant Questions