Question

Two vectors of magnitude 3 units and 4units subtends at the angle 30° and 120° with positive x axis find the resultant vector and angle between them?

Answer 1

angle between two vector is 90degree. So resultant will be 5

Answer 2

First you need to do Vector Resolution

Lets consider |A|=3 and |B|=4

A subtends 30° with the Horizontal

so its resolution is A.cos 30 î + A.sin 30 j

⇒A=3√3/2 i + 3/2 j

Likewise B subtends 60° with Negative Axis

Therefore,B= -B.cos 60 i - B.sin 60 j

⇒B= -2 i - 2√3 j

R= A + B

Resultant Vector of A and B= (3√3/2 -2) i + ( 3/2 - 2√3) j

And Magnitude of Resultant Vector(R)=√Rx²+Ry²

Hope it Helped..!!