A sail boat sails 2km east, then `4sqrt(2)km` south-east and then an additional displacement in an unknown direction, its final position is 5km directly east of the starting point. If the direction of the third part of the journey is at an angle `tan^(-1)(n)` find n

A sail boat sails 2km due east, 5km 37^(@) south of east, and finally an unknown displacement. If the final displacement of the boat from the starting point is 6km due east. Determine the third displacement.

A long straight wire in the horizontal plane carries a current of 50A in north to south direction. Give the magnitude and direction of vecB at a point 2*5m east of the wire.

A car travles 6km towards north at an angle of 45^(@) to the east and then travles distance of 4km towards north at an angle of 135^(@) to east (figure). How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?

A car travles 6km towards north at an angle of 45^(@) to the east and then travles distance of 4km towards north at an angle of 135^(@) to east (figure). How far is the point from the starting point? What angle does the straight line joining its initial and final position makes with the east?

A motor boat is racing towards North at 25 km//h and the water current in that region is 10 km//h in the direction of 60 ^@ East of South. Find the resultant velocity of the boat.

A plane moves in windy weather due east while the pilot the plane somewhat south of east. The wind is blowing at 50 km/h directed 30^(@) east of north, while the palne moves at 200 km/h relative to the wind . What is the velocity of the plane relative to the ground and what is the direction in which the pilot points the palne ?

A person moves 30 m north, , then 20 m towards east and finally 30sqrt(2) m in south-west direction. The displacement of the person from the origin will be

A man can row a boat with 4km/h in still water, if he is crossing a river where the current is 2 km/h. (a) In what direction will his boat be holded, if he wants to reach a point on the other bank, directly opposite to starting point? (b) If width of the river 4km, how long will the man take to cross the river, with the condition in part (a)? (c) In what direction shou ld he heat the boat if he wants to cross the river in shorest time and what is this minimum time? (d) How long will it take him to row 2 km up the stream and then back to his starting point?

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.

A line passes through the points (6,-7,-1)a n d(2,-3,1)dot Find te direction cosines off the line if the line makes an acute angle with the positive direction of the x-axis.