Question

Find the distance of (1,0,0) from the line
r=t(12i -3j -4k)

Answer 1

...is this plug and play? I forget vectors

Answer 2

a-level vectors

Answer 3

yeah...forgot

Answer 4

t = 0 is only 1 away. Does it ever get closer than that?

Answer 5

no

Answer 6

any idea how to solve?

Answer 7

Distance Formula seems like a good idea. Work on \(D^{2}\), though.

Answer 8

Alternatively, can you write an expression for all vectors orthogonal to that line? If so, find the one that runs through (1,0,0) and you'll have another good poke at it.