Question

wyznacz p, ktorego l : x+py-2=0 jest prostopadla do prostej K: 6x-2y=0

Answer 1

x+py-2=0            _|_    6x-2y=0

py = -x + 2                   -2y = -6x

y = -1/p x + 2/p    _|_       y = 3x     ⇔  -1/p * 3 = -1

                                                           -3/p = -1    /*p

                                                           -3 = -p

                                                            p = 3   ----------------  odpwoiedź