The resultant I R I vector of a vector and b ector is inclined at π/3 to both of them. Which of the following is true?

(1) I a I vector ≠ I b I vector

(2) I R I vector = I a I vector

(3) I a I vector = I b I vector ≠ I R I vector

(4) R vector = a vector = b vector

Ans. is given (2) but need explanation...pls provide detailed explanation...

[ ‘vector’ indicates the ‘→’ sign ]

Three identical balls are placed on a frictionless horizontal surface touching each other. They stick to each other because of adhesive. Another ball of same radius and mass m is placed over the void created by the three balls. Find the forces applied by the balls kept on the floor to each other if the system remains in equilibrium.

A car loaded with water having total mass 1000 kg moves on a straight horizontal Road starting from rest under the action of a force of 100 Newton. The water spills throw a small hole in the bottom at a rate of 0.1 KG per second the velocity of cart after 300 seconds is nearly.

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