- #1

dracolnyte

- 28

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## Homework Statement

(i)Show that the linear span of the vector a1 = (-7, 8, 5) is the line whose equation is

x/(-7) = y/8 = z/5

## The Attempt at a Solution

The problem is, I don't know where or how to start.

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- Thread starter dracolnyte
- Start date

- #1

dracolnyte

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- 0

(i)Show that the linear span of the vector a1 = (-7, 8, 5) is the line whose equation is

x/(-7) = y/8 = z/5

The problem is, I don't know where or how to start.

- #2

Dick

Science Advisor

Homework Helper

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Define the 'linear span of a vector'. Look it up if you have to.

- #3

dracolnyte

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- #4

Dick

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Ok, so for one vector v1 it's the set of all vectors k*v1 for k any real number, right?

- #5

dracolnyte

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Ya, and then?

- #6

Dick

Science Advisor

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- #7

dracolnyte

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Okay so

-7k = x

8k = y

5k = z

-7k = x

8k = y

5k = z

- #8

dracolnyte

- 28

- 0

Got it, thank you so much. I'll be back with more for sure lol.

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