Chapter 8.1, Problem 55E

(a)

To determine

To find: Name of two points that are collinear with P.

Answer to Problem 55E

Point K and point N are collinear with P.

Explanation of Solution

Given information: The data is given in following figures:

  

Calculation: In the given figure, we can see that point K and point N are in the same line as in point P.

Hence, point K and N are collinear with point P.

(b)

To determine

To find: Name of two planes that contain J.

Answer to Problem 55E

Planes JKL and QNK contain point J.

Explanation of Solution

Given information: The data is given in following figures:

  

Calculation: In the given figure, we can see that point J lies in planes JKL and QNK.

Hence, planes JKL and QNK contain point J.

(c)

To determine

To find: Name the points that are in more than one plane.

Answer to Problem 55E

Every point shown in figure is in at least two planes.

Explanation of Solution

Given information: The data is given in following figures:

  

Calculation: In the given figure, we can see that each point lies in more than one plane.

Therefore, each and every point shown in figure is in at least two planes.