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Thought-Process to Discover Knowledge

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User Guide

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summary of this topic

### Properties of Vectors

Voice

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Home

Properties of Magnitude of Vectors

»  Magnitude of null vectors |vec(0)|= 0

»  Magnitude of a negative |-vec(p)| = |vec(p)|

»  Magnitude of an unit vector |hat p|= 1

### Properties of Magnitude of a Vector

plain and simple summary

nub

plain and simple summary

nub

dummy

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

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

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

• Magnitude of an unit vector is 1.

simple steps to build the foundation

trek

simple steps to build the foundation

trek

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

Keep tapping on the content to continue learning.
Starting on learning "Properties of magnitude of a vector". ;; In this topic, Properties of Magnitude of vectors are explained in detail.

What is the magnitude of a null vector?

• 0
• 1

The answer is '0'.

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

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

.

What is the magnitude of a proper vector?

• =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.

What is the magnitude of a unit vector?

• 0
• 1

The answer is '1'.

By definition, magnitude of an unit vector is 1.

comprehensive information for quick review

Jogger

comprehensive information for quick review

Jogger

dummy

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

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

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

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

practice questions to master the knowledge

Exercise

practice questions to master the knowledge

Exercise

Progress

Progress

What is the magnitude of a null vector?
0
0
1
1
The answer is "0", Null vector is ; vector 0 = 0 i + 0 j + 0 k;; So the magnitude of vector 0 equals 0.
Properties of magnitude of vectors : Magnitude of a null vector is 0.
Magnitude of a Null vector: Null vector is 0 = 0 i + 0 j + 0 k ;; The magnitude vector 0 = 0.
Given vector p, what is the magnitude of negative of vector p?
magnitude
magnitude of vector p
minus
minus magnitude of vector p
The answer is "magnitude of vector p". The negative of vector p is minus vector p = minus p x minus p y minus p z. And so the magnitude of minus vector p = magnitude of vector p.
Magnitude of the negative of a vector equals magnitude of the vector.
Magnitude of the negative of a vector: For a vector, the magnitude of the negative equals magnitude of the vector.
What is the magnitude of a proper vector?
equal
=0
not
!=0
The answer is "not equal 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 p, the magnitude of vector p not equal 0, and; magnitude of a vector greater than 0.
What is the magnitude of a unit vector?
0
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 p ; magnitude of vector p equals 1.

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