# Thread: Orthogonal, Parallel, or Neither

1. ## Orthogonal, Parallel, or Neither

Determine whether u and v are orthogonal, parallel, or neither:
u = (3/4)i - (1/2)j + 2k
v = 4i + 10j + k

I am really confused. Any help is appreciated.

2. Originally Posted by iluvmathbutitshard
Determine whether u and v are orthogonal, parallel, or neither:
u = (3/4)i - (1/2)j + 2k
v = 4i + 10j + k

I am really confused. Any help is appreciated.
1. Two vectors $\displaystyle \vec u$ and $\displaystyle \vec v$ are parallel if you can find a real number r such that

$\displaystyle \vec u = r \cdot \vec v$

2. Two vectors $\displaystyle \vec u$ and $\displaystyle \vec v$ are perpendicular if the following equation is true

$\displaystyle \vec u \cdot \vec v = 0$

otherwise they are skewed(?).

3. Originally Posted by earboth
1. Two vectors $\displaystyle \vec u$ and $\displaystyle \vec v$ are parallel if you can find a real number r such that

$\displaystyle \vec u = r \cdot \vec v$

2. Two vectors $\displaystyle \vec u$ and $\displaystyle \vec v$ are perpendicular if the following equation is true

$\displaystyle \vec u \cdot \vec v = 0$

otherwise they are skewed(?).
Just "otherwise they are skew."