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Vector A has a magnitude of 10 units and...

Vector A has a magnitude of 10 units and makes an angle of 30° with the positive X-axis. Vector B has a magnitude of 20 units and makes an angle of 30° with the negative X-axis. What is the magnitude of the resultant between these two vectors ?

A

`20sqrt(3)`

B

35

C

`15sqrt(3)`

D

`10sqrt(3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Angle between two vectors is 120°
`:.R=sqrt(A^(2)+B^(2)+2ABcos120^@)`
`sqrt(300)=10sqrt(3)`
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