What Value of a Makes Vectors Coplanar?

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Homework Help Overview

The discussion revolves around determining the value of a parameter that makes three vectors coplanar. The vectors in question are defined with specific components, and the original poster expresses uncertainty about how to approach the problem.

Discussion Character

  • Exploratory, Conceptual clarification

Approaches and Questions Raised

  • Some participants question the definition of coplanarity and suggest that the naming of the parameter 'a' as a vector may lead to confusion. Others indicate a desire to explore fundamental concepts related to the problem.

Discussion Status

The discussion is in an early stage, with participants seeking to clarify definitions and explore potential methods for addressing the problem. There is a lack of explicit consensus, and some participants have noted the original poster's lack of initial effort.

Contextual Notes

Participants have pointed out the potential confusion arising from the naming conventions used in the problem statement. There is also an indication that the original poster has not attempted any solutions, which may affect the direction of the discussion.

BlueRope
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Homework Statement



vector a = (0,1,0)
vector b = (-2,1,1)
vector c = (1, a-2, a+2)

for what value of a are the three vectors coplanar?

Homework Equations



don't know how to do this

The Attempt at a Solution



didn't try anything
 
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BlueRope said:

Homework Statement



vector a = (0,1,0)
vector b = (-2,1,1)
vector c = (1, a-2, a+2)

for what value of a are the three vectors coplanar?

Homework Equations



don't know how to do this

The Attempt at a Solution



didn't try anything

If a is a parameter, you shouldn't name the vector a as well.

Have you read the definition coplanar?
 
Well let's start at the fundamental level.

Do you know what coplanar means?
 
After looking at the title of this thread ... I can think of two ways.
 
What are those two ways?
 
Locking the thread, because the OP has not shown any effort at solving this problem.
 

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