Find the resultant of the vectors vec(OA), vec(OB), vec(OC) as shown in figure. The radius of the circle is r.

Find the resultant of the vectors vec(OA), vec(OB), vec(OC) as shown i

1.	Find the resultant of the vectors vec(OA), vec(OB), vec(OC) as shown in figure. The radius of the circle is r.
Answer» Solution :`vec(R) = vec(OA) + vec(OB) + vec(OC)` `vec(R) = r hat(i) + r cos, 45 I + r SIN 45 hat(J) + r hat(j)` `vec(R) + (r+(r)/(sqrt(2)))hat(i) + (r + (r)/(sqrt(2)))hat(j)` `\|vec(R)\| = (sqrt(2)r + r)` along `vec(OB)`.