Which of the following option is not true, if and , where \(\mathrm{A}\) and \(\mathrm{B}\) are the magnitudes of ?
1.
2.
3.
4. \(\mathrm{A}=5\)
If is perpendicular to , then which of the following statement is correct?
1.
2.
3.
4.
The angle between the two vectors and is:
1. 0°
2. 90°
3. 180°
4. 45°
If a unit vector is rotated through an angle of 45° anticlockwise, then the new vector will be:
1.
2.
3.
4.
are two vectors given by and . The component of parallel to is:
1.
2.
3.
4.
If a vector is inclined at angles, with x, y, and z-axis respectively, then the value of is equal to
1. 0
2. 1
3. 2
4.
A force of \(20\) N acts on a particle along a direction, making an angle of \(60^\circ\) with the vertical. The component of the force along the vertical direction will be:
1. | \(2\) N | 2. | \(5\) N |
3. | \(10\) N | 4. | \(20\) N |
If are two vectors inclined to each other at an angle , then the component of perpendicular to and lying in the plane containing will be:
1.
2.
3.
4.
If and = , then
1.
2.
3. is antiparallel to
4. is inclined to at an angle of 45