Answer:
The answer is l(s, t) = (2s,7s + 2t,7t)
Explanation:
A general vector notation that can describe the points which lie in the configuration of the plane spanned by v1 and v2, is evaluated, thus:
V = v1 + v2
Where s and t are the elements of v1(2,7,0) and v2(0,2,7), respectively, and projected in x, y and z coordinates, we have:
V = sv1 + sv2, implying that:
V = (2sx + 7sy + 0sz) + (0tx + 2ty + 7tz)
Or, V= (2sx + 7sy) + (2ty + 7 tz)
Therefore, V = (2s,7s + 2t,7t)
and l(s, t) = (2s,7s + 2t,7t).
