Question

let A and B be the two vectors of magnitude 10 unit each.if they are inclined to the x-axis at angles 30 and 60 respectively,find the resultant along with direction also

Answer 1

x-axis components add up to
10(cos30 + cos60) = 13.66

y axis components add up to
10(sin 30 + sin60) = 13.66

resultant magnitude = 19.32

Answer 2

It makes intuitive sense we can average our angles since they're equal in magnitude, sow e get the resultant angle \(\dfrac12(60^\circ+30^\circ)=45^\circ\).

Answer 3

(hence the x/y components are equal)

Answer 4

but why have u taken the average of two angles lyk that to find the direction