Finding the value of K [duplicate]

$\begingroup$

$$π1:( 1+k , -3 , 6 )$$

$$π2: ( 1 , 5+k , 3k)$$

Does anyone know the values of k that would make these parallel and perpendicular, ive been trying for hours but nothing seems to work

The original equation is

$$π1:(1+k)x−3y+6z−4=0$$

$$π2:x+(5+k)y+3kz+1=0$$

$\endgroup$ 2

1 Answer

$\begingroup$

Hints:

  • If $v_1$ and $v_2$ are perpendicular, $v_1 \cdot v_2 = 0$.
  • If $v_1$ and $v_2$ are parallel, $v_2 = av_2$ for some constant $a$.
$\endgroup$ 3

You Might Also Like