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Use vector notation to describe the points that lie in the given configuration. (Let s and t be elements of the Reals.)

The plane spanned by:

v1 = (6, 5, 0)
and
v2 = (0, 6, 5)
l(s, t) = ?

Respuesta :

nuhulawal20

Answer: I(s,t) = {(6s, 5s+6t, 5t)| sER, tER }

Step-by-step explanation:

Given the data in the question;

A vector is in the span of V1 and V2 only if it is a linear combination.

of V1 and V2.

so 'V' is in the span if;

V = SV1 + tV2 [ S and t are real numbers ]

V =    [ 6si + 5sj ] + [ 6tj + 5tz]

V = 6s, 5s+6t, 5t

so

I(s,t) = {(6s, 5s+6t, 5t)| sER, tER }

Vector notation is indeed a commonly utilized notation in maths and physics for expressing vectors, which can be either Euclidean carriers or, more generally, members of a vector space, and the calculated value "[tex]\bold{I(s,t) = {(2s,7s+2t,7t)| sER, tER}}[/tex]".

Vector notation calculation:

  • Vectors, like any other variable, are frequently represented in advanced maths as a basic italic font.
  • A vector is a linear combination of [tex]v_1\ \text{and} \ v_2[/tex], it would be in the span of [tex]v_1\ \text{and} \ v_2[/tex].
  • In other words, if v is in the span, it would be in the span.

[tex]v = s v_1 + t v_2[/tex] [ s and t are real numbers ]

[tex]v = [2si + 7sj ] + [ 2tj + 7tz]\\\\v = 2s,7s+2t,7t\\\\I(s,t) = {(2s,7s+2t,7t)| sER, tER}[/tex]

Find out more information about the vector notation here:

brainly.com/question/24974842

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