Let n = (-2, 1). Decompose the vector g = (0, -9.8) into the sum of two orthogonal vectors, one parallel to n and the other orthogonal to n.
I'm not sure how to go about doing this.
Hello, RedKMan!
Are you familiar with "projections"?Let
Decompose the vector into the sum of two orthogonal vectors,
one parallel to , the other orthogonal to
Given vectors
The projection of u onto v is given by: .
. . This is the component of that is parallel to
And: .
. . This is the component of that is orthogonal to
We have: .
. .
. .
Therefore: .