OpenStudy (anonymous):

Let v1 = <2, 4, -1> , v2 = <2, 6, 1> , y = <0, -6, h> For what value of h is y in the plane spanned by v1 and v2?

3 years ago
OpenStudy (zarkon):

what is \[3(v_1-v_2)\]

3 years ago
OpenStudy (anonymous):

3(2-2,4-6,-1-1) 3(0,2,-2) (0, 6, -6)

3 years ago
OpenStudy (zarkon):

4-6 =-2

3 years ago
OpenStudy (zarkon):

(0,-6,-6)

3 years ago
OpenStudy (zarkon):

so what is h?

3 years ago
OpenStudy (anonymous):

-6

3 years ago
OpenStudy (zarkon):

yep

3 years ago
OpenStudy (zarkon):

you just wrote y as a linear conbination of v1 and v2. Therefore y is in the span(v1,v2)

3 years ago
OpenStudy (zarkon):

*combination

3 years ago
OpenStudy (anonymous):

Okay, thank you.

3 years ago
OpenStudy (zarkon):

if you want a some systematic way then create a matrix and row-reduce or find the determinant

3 years ago
OpenStudy (zarkon):

* want a more systematic

3 years ago
OpenStudy (zarkon):

can't type today

3 years ago
OpenStudy (anonymous):

No worries. Thank you for the help

3 years ago