Question

Use vector notation to describe the points that lie in the configuration. (Let s and t be elements of the Reals). the plane spanned by v1=(2,7,0) and v2=(0,2,7). I(s,t)=

Answer 1

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).