What is the unit vector in the direction of the vector A=4 i +3 j ?


Given:

`\vec {A}` = 4 `\hat {i}` + 3 `\hat {j}`


To Find:

Unit Vector = `\hat {A}` = ?


Solution: 

By definition: A vector dived by its magnitude is called a unit vector. Mathematically it is written as

`\hat {A}` = `\ frac {vec {A}}{vec {A}}`  ----eqn (1)

as given `\vec {A}` = 4 `\hat {i}` + 3 `\hat {j}` Here x-component = 4 and y-component = 3. So, to find its magnitude |`\vec {A}`| we have

|`\vec {A}`| = `\sqrt {x^2 + y^2}`

by putting values 

A = `\sqrt {4^2 + 3^2}`

A = `\sqrt {16 + 9}`

A = `\sqrt {25}`

A = 5

so eqn (1) 

`\hat {A}` = `\ frac {4 \hat {i} + 3 \hat {j} }{5}`  ----- Ans


************************************
************************************
Numerical Problem 2.3
⇑
List of 11th Physics Numerical Problems of Chapter - 2
⇑


************************************

Shortcut Links For 


1. Website for School and College Level Physics   
2. Website for School and College Level Mathematics  
3. Website for Single National Curriculum Pakistan - All Subjects Notes 

© 2022-Onwards by Academic Skills and Knowledge (ASK)     

Note:  Write me in the comment box below for any query and also Share this information with your class-fellows and friends.