Question

HELP ASAP..GEOMETRY


Suppose the plane,T, and 3 collinear( but not coplanar) points P,Q, and W.


part A: can either P,Q, or W be a point on T? (justify your answer)


part B: if the lenths of line PW and line PQ are given, can the length of line QW be determined? (justify your answer)

Answer 1

Answer:

Step-by-step explanation:

Given that a plane T is there and 3 collinear points P,Q,W are there.

Part A;

PQW line lies has infinite points, , There is a chance that any one will be a point on the plane.

Part B) Since PQW are collinear

We find that PQ+QW = PW

Hence if PQ and QW are known we can easily find PW>

Answer 2

Points on the same line are said to be collinear; similarly, points in the same plane are said to be coplanar.

• Either of points P, Q or W can be in plane T.

• The length of QW can be determined from the lengths of PW and PQ.

From the question, we understand that: P, Q and W are not coplanar.

This means that P, Q and W are not in the same plane. So, one of the following scenarios are possible

• Only point P is in plane T
• Only point Q is in plane T
• Only point W is in plane T
• None of the three points are in plane T

The first three scenarios indicate that there are chances that P, Q or W can be in plane T.

Hence, we can conclude that either of points P, Q or W can be in plane T.

Given that: PW and PQ are known

Lines PW and PQ share a common point (point P).

This means that the sum of PW and PQ will give the length of QW i.e.

$QW = PW + PQ$ or $QW = PQ + PW$

Hence, the length of QW can be determined.

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