Collinear vectors

PiRsq

I couldn't solve this problem guys:

Let vectors x, y, z be non zero vectors, no two of which are collinear. Find their sum if x+y is collinear with z and if y+z is collinear with x.

Also, what does a collinear vector mean?

Related Introductory Physics Homework Help News on Phys.org

Hurkyl

Staff Emeritus
Gold Member
Two vectors are collinear if they lie along the same line.

The easiest algebraic description of collinearity is that two vectors v and w are collinear if and only if one is a scalar multiple of the other. That is, there exists a number &alpha; such that:

v = &alpha; w
or
w = &alpha; v

CHUKKY

Two vectors are collinear if they lie along the same line.

The easiest algebraic description of collinearity is that two vectors v and w are collinear if and only if one is a scalar multiple of the other. That is, there exists a number &alpha; such that:

v = &alpha; w
or
w = &alpha; v
To be specific, vectors are collinear when their lines of action are parallel to each other.

Physics Forums Values

We Value Quality
• Topics based on mainstream science
• Proper English grammar and spelling
We Value Civility
• Positive and compassionate attitudes
• Patience while debating
We Value Productivity
• Disciplined to remain on-topic
• Recognition of own weaknesses
• Solo and co-op problem solving