Question

Resultant of two perpendicular vectors each of magnitude A is​

Answer 1

Answer:

Explanation:

2

B

​  

=  

A  

2

+B  

2

+2ABcosθ

​  

 ....(i)

∴tan90  

o

=  

A+Bcosθ

Bsinθ

​  

⇒A+Bcosθ=0

∴cosθ=−  

B

A

​  

 

Hence, from (i)  

4

B  

2

 

​  

=A  

2

+B  

2

−2A  

2

⇒A=  

3

​  

 

2

B

​  

 

⇒cosθ=−  

B

A

​  

=−  

2

3

​  

 

​  

∴θ=150  

o

Answer 2

Answer:

it's magnitude is equal to the vector B