Server Error

Server Not Reachable.

This may be due to your internet connection or the nubtrek server is offline.

Thought-Process to Discover Knowledge

Welcome to nubtrek.

Books and other education websites provide "matter-of-fact" knowledge. Instead, nubtrek provides a thought-process to discover knowledge.

In each of the topic, the outline of the thought-process, for that topic, is provided for learners and educators.

Read in the blogs more about the unique learning experience at nubtrek.
mathsVector AlgebraProperties of Vectors

### Properties of Magnitude of a Vector

In this topic, Properties of Magnitude of vectors are explained in detail.

click on the content to continue..

What is the magnitude of a null vector?

• 0
• 0
• 1

The answer is '0'.

Null vector is vec 0 = 0i+0j+0k. So the magnitude |vec 0| = 0.

Properties of magnitude of vectors :
•  Magnitude of a null vector is 0.

Magnitude of a Null vector: Null vector is vec 0 = 0i+0j+0k. The magnitude |vec 0| = 0

Given vector vec p What is the magnitude of negative of vec p??

• |vec p|
• |vec p|
• -|vec p|

The answer is '|vec p|'. The negative of vec p is -vec p = -p_x i - p_y j - p_z k  and so
|-vec p|
quad quad = sqrt((-p_x)^2+(-p_y)^2+(-p_z)^2)
quad quad = sqrt((p_x)^2+(p_y)^2+(p_z)^2)
quad quad = |vec p|

.

•  Magnitude of the negative of a vector equals magnitude of the vector.

Magnitude of negative vector: For a vector vec p, the magnitude of the negative |-vec p| = |vec p|

What is the magnitude of a proper vector?

• =0
• !=0
• !=0

The answer is '!=0'.

By definition, a proper vector is not a null vector. So the magnitude of the vector is not zero.

•  Magnitude of a proper vector is not zero and positive.

Magnitude of Proper Vector: For a proper vector vec p, the magnitude |vec p| != 0 and |vec p| > 0

What is the magnitude of a unit vector?

• 0
• 1
• 1

The answer is '1'.

By definition, magnitude of an unit vector is 1.

• Magnitude of an unit vector is 1.

Magnitude of a unit vector: For a unit vector vec p, |vec p| =1

slide-show version coming soon