Velocity of a boat with respect to river bank is `3hat i+4hat j` &`(-3hati -4hatj)` is the velocity of- water stream of river. Calculate the relative velocity of the boat with respect to the steam.

The velocity of water in a river is less on the bank and large in the middle. Why?

A boat is moving at 12 km *h^(-1) towards north and another is moving at 12sqrt(2) km *h^(-1) towards north -west .Find the relative velocity of the second boat with respect to the first.

sqrt(3) times the velocity of a boat on still water is twice the velocity of current of a river. At what angle , with respect to the current, should the boat be steered so as to cross the river in least distance ?

A boat travels 64 km in 16 hours in favor of the current and 24 km in 8 hours against the current of the river. Find the velocity of the boat in steady water and the velocity of the current with the help of graph.

find the projection of 3hat i - hat j + 4hat k on 2 hat i + 3 hat j -6 hat k

A man swims across the river which flows with a velocity of 3 km/h due east.if the velocity of man relative to water is 4 km/h due north, then What is his velocity relative to the shore of the river?

If 4 hat i+7 hat j+8 hat k ,2 hat i+3 hat j+4hat ja n d2 hat i+5 hat j+7 hat k are the position vectors of the vertices A ,Ba n dC , respectively, of triangle A B C , then the position vecrtor of the point where the bisector of angle A meets B C is a. 2/3(-6 hat i-8 hat j- hat k) b. 2/3(6 hat i+8 hat j+6 hat k) c. 1/3(6 hat i+13 hat j+18 hat k) d. 1/3(5 hat j+12 hat k)

If the vector vec(AB) = 3hat(i) + 4hat(k) and vec(AC) = 5hat(i) - 2hat(j) + 4hat(k) are the sides of a triangle ABC, then the length of the median through A is-