Pairs of Lines in 3D (Edexcel A-Level Further Mathematics): Quizzes

Direction vectors are scalar multiples

Lines that don't intersect & aren't parallel

Three

$\lambda = 3$

$(4, -1, 9)$

Solution consistency; lines may be skew

$\mathbf{b}_1 = k \mathbf{b}_2$, $k \in \mathbb{R}$

Substitute back to find intersection pt

$\mu = -1$

Skew lines