completely lost here, any help appreciated.Relative to a fixed origin, the points A, B and C have position vectors (2i − j + 6k),
(5i − 4j) and (7i − 6j − 4k) respectively.
(a) Show that A, B and C all lie on a single straight line.
completely lost here, any help appreciated.Relative to a fixed origin, the points A, B and C have position vectors (2i − j + 6k),
(5i − 4j) and (7i − 6j − 4k) respectively.
(a) Show that A, B and C all lie on a single straight line.
Hello, Tweety!
There are several ways to do this . . .
Relative to a fixed origin, the points have position vectors:
. . (2i − j + 6k), (5i − 4j), (7i − 6j − 4k) respectively.
(a) Show that all lie on a single straight line.
We have: .
Then: .
The vectors are parallel and contain point
Therefore, the points are collinear.
Since , points are collinear.
We have: .
We have: .
Since , then: .
Therefore, points are collinear.