Magnitude Of A Vector
Definition Of Magnitude Of A Vector
Magnitude of a Vector is the length of the vector.
More About Magnitude of a Vector
The magnitude of a unit vector is 1.
If V is the vector, we denote the length or magnitude of 
by |V|.
|V| = 
is the formula for finding the magnitude of the vector, where x and y are the components of the vector .
Examples of Magnitude of a Vector
Let = 
(2, 3) be a vector. Then the magnitude of is |R| = < x,="" y=""> = = 
= 
= 
= . Therefore , is the magnitude of the vector .
Video Examples: CSEC CXC Maths- Finding The Magnitude OF A Vector.
Solved Example on Magnitude of a Vector
Ques: Let u = PQ where P = (12, 12) and Q = (- 9, 40). Which of the following is the magnitude of the vector
?
Choices:
A. 21
B. 28
C. 49
D. 35
Correct Answer: D
Solution:
Step 1: u = 
, where P = (12, 12) and Q = (- 9, 40).
Step 2: The component form of is = < x2="" -="" x1,="" y2="" -="" y1=""> = <- 9="" -="" 12,="" 40="" -="" 12=""> = < -="" 21,="" 28="">. [Write the component form of .]
Step 3: The magnitude of is |u| = 
= 
= 35. [Use the formula to find the magnitude of a vector.]