Question

Let a line parallel to x + 3y – 2z – 2 = 0 = x – y + 2z and passes through (2, 3, 1). If distance of point (5, 3, 8) from the line is α, then 3α² is ____.

Answer 1

Let \( \vec a = \hat i + 3\hat j - 2\hat k\)

\(\vec b = \hat i - \hat j + 2\hat k\)

Line will be parallel to \(\vec a \times \vec b\)