Question

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?

Answer 1

what is

\[3(v_1-v_2)\]

Answer 2

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

Answer 3

4-6 =-2

Answer 4

(0,-6,-6)

Answer 5

so what is h?

Answer 6

-6

Answer 7

yep

Answer 8

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

Answer 9

*combination

Answer 10

Okay, thank you.

Answer 11

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

Answer 12

* want a more systematic

Answer 13

can't type today

Answer 14

No worries. Thank you for the help