Question

how to find if 3 vectors are coplanar?

Answer 1

the angle between them must be 0 or Cos(theta)=1

Answer 2

Another approach would be to test if they are linearly independent. If they are not, then they are coplanar.

Answer 3

Test if they are linearly independent

Answer 4

how?

Answer 5

If 3 vectors are co-planar they must be linearly dependent.

Answer 6

is there any easier way without using s and t and making 3 equations

Answer 7

Using matrices is pretty easy.

Answer 8

is to place the three vectors into a 3x3 matrix and find the determinant. If the determinant is non-zero then the vectors are linearly independent

Answer 9

if you are familiar with the process from linear algebra that is.

Answer 10

sorry dependent Typo mistake

Answer 11

romoore93: I'd rather just look at the null-space than find the determinant, but different strokes..

Answer 12

true

Answer 13

If you put the 3 vectors in a matrix A, and find the solutions to
\[A\vec{x} = 0\]
If you only have the trivial solution then they are not co-planar.