Line Perpendicularity and Point
The line described by \[\begin{pmatrix} 2 \\ -1 \\ 3 \end{pmatrix} + t \begin{pmatrix} k \\ 2 \\ 1 \end{pmatrix}\]is perpendicular to the line described by \[\begin{pmatrix} 2 \\ -1 \\ 1 \end{pmatrix} + u \begin{pmatrix} 2 \\ 1 \\ 2 \end{pmatrix}\]and passes through the point $ (4,a,b) $. Find $ a + b + k $.
- 1
- 2
- 3
- +
- 4
- 5
- 6
- -
- 7
- 8
- 9
- $\frac{a}{b}$
- .
- 0
- =
- %
- $a^n$
- $a^{\circ}$
- $a_n$
- $\sqrt{}$
- $\sqrt[n]{}$
- $\pi$
- $\ln{}$
- $\log$
- $\theta$
- $\sin{}$
- $\cos{}$
- $\tan{}$
- $($
- $)$
- $[$
- $]$
- $\cap$
- $\cup$
- $,$
- $\infty$