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Properties of Vectors

Properties of Vectors

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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`

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.

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


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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

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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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