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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.

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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.continue

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nubtrek is designed to explain mathematics and science for young readers. Every topic consists of four sections.

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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`

*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.

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trek

*simple steps to build the foundation*

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

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

*your progress details*

Progress

*About you*

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.