Calculate the resultant of the following forces acting at a point, making use of resoluation process.
(i) `100 sqrt(2)` dyne alond north-east
(ii) 980 `sqrt(2)` dyne along north-west
(iii) 1960 dyne along south.

Find the resultant forece of the following forces which act upon a particle. (a) 30 N due east (b) 20 N 1 due North (c ) 50 N due West (d) 40 N due South.

State the kind of angle, in each case, formed between the following directions: (i)East and west (ii) East and north (iii)North and north-east (iv) North and south-east

Classify the following measures as scalars and vectors. (i) 10 kg (ii) 2 meters north-west (iii) 40^@ (iv) 40 watt (v) 10^19 coulomb (vi)20 m//s^2

A man covered following displacements. Find the net displacement of the person (i) 25m west (ii) 20 m 30^(@) east of south (iii) 5sqrt(3)m south (iv) 10 m east (v) 10 m 60^(@) north of west

Represent the following graphically a displacement of : (i) 40 km, 30^(@) west of south (ii) 40 km, 30^(@) east of south (iii) 40 km, 30^(@) west of north.

A 400 m wide river is flowing from west to east at velocity 3m/s. A boat starts from one bank and it crosses the river along the shortest path. When it reaches the middle of river, wind starts blowing horizontally along north-east at a velocity sqrt(2) m/s . Due to this, the direction of rowing of boat has to be changed for the boat to move along the shortest path. If the velocity of boat in still water with no wind blowing is 5 m/s, then choose the correct option(s).

Convert the following points from polar coordinates to the corresponding Cartesian coordinates. (i) (2,pi//3) (ii) (0.pi//2) (iii) (-sqrt(2),pi//4)

If two forces each of magnitude 20N, are acting on a particle such that the first force (vecE_(1)) is acting along east direction and the second force (vercF_(2)) is acting along the direction 60^(@) north of west, then the magnitude of resultant force on particle is

A ball is acted upon by the following velocities. (i) 3 ms^(-1) due East 9ii) 11 ms^(-1) due South and (iii) 5 sqrt 2 ms^(-1) due North-East. Find the magnitude and direction recultant velocity.

A political party has to start its procession in an area where wind is blowing at a speed of 30 sqrt(2) km h^-1 and party flags on the cars are fluttering along north - east direction. If the procession starts with a speed of 40 km h^-1 towards north, find the direction of flags on the cars.