The angle between and is θ. The value of the triple product .( × ) is
A2B
zero
A2B sin θ
A2B cos θ
The position vector of a particle, is . The velocity of the particle is
directed towards the origin
directed away from the origin
parallel to the position vector
perpendicular to the position vector
The maximum range of a gun of horizontal terrain is 16 km. If g = 10 ms-2 , then muzzle velocity of a shell must be
160 ms-1
200√2 ms-1
400 ms-1
800 ms-1
A bullet is fired from a gun with a speed of 100 m/s in order to hit a target 100m away. At what height above the target should the gun be aimed? (The resistance of air is negligible and g = 10 m/s2)
5 cm
10 cm
15 cm
20 cm
The angle between the two vectors will be
0°
45°
90°
180°
A particle moves along a circle of radius with constant tangential acceleration. If the velocity of the particle is 80 m/s at the end of the second revolution after motion has begun, the tangential acceleration is
160 π m/s2
40 m/s2
40 π m/s2
640 π m/s2
The magnitudes of vectors are 3,4 and 5 units respectively. If , the angle between is
cos-1 (0.6)
A bus is moving on a straight road towards north with a uniform speed of 50 km/h. If the speed remains unchanged after turning through 90°, the increase in the velocity of bus in the turning process is
7.07 km/h along south-west direction
50 km/h along west
70.7 km/h along north-west direction
The vectors and are such that | + | = | - | then angle between the two vectors will be
60°
75°
The resultant of × 0 will be equal to
A
zero vector
unit vector
