nitraiddQ

2021-02-02

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

$u=\u27e85,3\u27e9,u=\u27e8\frac{10}{4},-\frac{3}{2}\u27e9$

SchepperJ

Skilled2021-02-03Added 96 answers

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

$v=-\frac{1}{2}u\to \u27e8-\frac{10}{4},-\frac{3}{2}\u27e9=-\frac{1}{2}(5,3)$

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

Check if they are parallel:

Since

then u and v are parallel.

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