Question

4.
A vector i of length 10 units makes an angle of 6 with the vector B of length 6 units. Find the
magnitude of the vector difference - B & the angle it makes with vector A.
UD0026​

Answer 1

Answer:

​  

 

A

−  

B

 

​  

 

∣

∣

∣

​  

=  

A  

2

+B  

2

−2ABcosθ

​  

 

               =  

(10)  

2

+(6)  

2

−2(10)(6)cos60  

∘

 

​  

=2  

19

​  

 

tan α=  

10−6cos60  

∘

 

6sin60  

∘

 

​  

=  

10−3

6×  

3

​  

/2

​  

=  

7

3  

3

​  

 

​  

 

⇒α=tan  

−1

(  

7

3  

3

​  

 

​  

 

​  

)

Explanation: