The vectors and are such that | + | = | - | then angle between the two vectors will be
45°
60°
75°
90°
If a vector is perpendicular to the vector , then the value of α is
-1
1
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
zero
50 km/h along west
70.7 km/h along north-west direction
If , then the value of is
(A2 + A2 + AB)1/2
A + B
(A2 + B2 + √3 AB)1/2
A car runs at a constant speed on a circular track of radius 100m, taking 62.8 s for every circular lap. The average velocity and average speed for each circular lap respectively is
0, 0
0, 10 m/s
10 m/s, 10 m/s
10 m/s, 0
Two particles are projected with same initial velocities at an angle 30° and 60° with the horizontal. Then
Their heights will be equal
Their ranges will be equal
Their time of flights will be equal
Their ranges will be different
The resultant of × 0 will be equal to
A
zero vector
unit vector
An engine exerts a force and moves with velocity . The power of the engine (in watt) is
45
75
20
10
Two bodies of same mass are projected with the same velocity at an angle 30° and 60° respectively. The ratio of their horizontal ranges will be
1 : 1
1 : 2
1 : 3
1 : √2
If a unit vector is represented by , then the value of c is
√0.11
√0.01
0.39
