Question

find the angle between (a⃗+b⃗) and (A⃗.B⃗) in vector?​

Answer 1

Answer:

Step-by-step explanation:

It is given that,

∣  

a

∣=  

3

​

,  

∣

∣

∣

∣

​

 

b

 

∣

∣

∣

∣

​

=2 and,  

a

⋅  

b

=  

6

​

 

Now, we know that  

a

⋅  

b

=∣  

a

∣∣  

b

∣cosθ

∴  

6

​

=  

3

​

×2×cosθ

⇒cosθ=  

3

​

×2

6

​

 

​

 

⇒cosθ=  

2

​

 

1

​

 

⇒θ=  

4

π

​

 

Hence, the angle between the given vectors  

a

 and  

b

 is  

4

π

​

.