- #1

- 15

- 0

Two vectors in 3-d space:

**A**=

**i**+ 2

**j**-1.5

**k**

**B**=

**i**+

**j**- 2

**k**

**C**=

**i**-

**j**- 3

**k**

are linearly dependent as we can write down

2

**A**- 3

**B**+

**C**=

**0**

I understand the concept of linear dependence, and why the answer makes sense (non-zero constants exist) but my question is how they determined the constants needed to show the vectors are dependent. My first thought was Gaussian elimination but I don't think that's correct.

Any help would be appreciated.