The angle between $\mathbf{A} = \mathbf{\hat{i}} + \mathbf{\hat{j}}$ and $\mathbf{B} = \mathbf{\hat{i}} - \mathbf{\hat{j}}$ is
45°
90°
–45°
180°
Which one of the following statements is true?
A scalar quantity is the one that is conserved in a process
A scalar quantity is the one that can never take negative values
A scalar quantity is the one that does not vary from one point to another in space
A scalar quantity has the same value for observers with different orientation of the axes
Figure shows the orientation of two vectors u and v in the xy-plane.
If $\mathbf{u} = a\hat{i} + b\hat{j}$ and $\mathbf{v} = p\hat{i} + q\hat{j}$
Which of the following is correct?
a and p are positive while b and q are negative
a, p and b are positive while q is negative
a, q and b are positive while p is negative
a, b, p and q are all positive
The component of a vector r along X-axis will have maximum value if
r is along positive Y-axis
r is along positive X-axis
r makes an angle of 45° with the X-axis
r is along negative Y-axis
The horizontal range of a projectile fired at an angle of 15° is 50 m. If it is fired with the same speed at an angle of 45°, its range will be
60 m
71 m
100 m
141 m