Advertisement Remove all ads

The points A, B, C have position vectors bar"a", bar"b" and bar"c" respectively. The point P is the midpoint of AB. Find the vector bar"PC" in terms of bar"a", bar"b", bar"c". - Mathematics and Statistics

Advertisement Remove all ads
Advertisement Remove all ads
Sum

The points A, B, C have position vectors `bar"a", bar"b" and bar"c"` respectively. The point P is the midpoint of AB. Find the vector `bar"PC"` in terms of `bar"a", bar"b", bar"c"`.

Advertisement Remove all ads

Solution

P is the mid-point of AB.

∴ `bar"p" = (bar"a" + bar"b")/2,  "where"  bar"p"` is the position vector of P.

Now, `bar"PC" = bar"c" - bar"p" = bar"c" - 1/2(bar"a" + bar"b")`

`= -1/2(bar"a" + bar"b") + bar"c"`

`= - 1/2 bar"a" - 1/2 bar"b" + bar"c"`

Concept: Section Formula
  Is there an error in this question or solution?
Advertisement Remove all ads

APPEARS IN

Video TutorialsVIEW ALL [2]

Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×