The angle between the two vectors and is:
1. 0°
2. 90°
3. 180°
4. 45°
If ; then which of the following statements is incorrect?
(1) must each be a null vector.
(2) The magnitude of equals the magnitude of .
(3) The magnitude of ä can never be greater than the sum of the magnitudes of and
(4) ä must lie in the plane of and .
When a force of magnitude F acts on a body of mass m the acceleration produced in the body is a. If three coplanar forces of equal magnitude F act on the same body as shown in the figure, then acceleration produced is
1. 0
2.
3.
4.
Three forces each of magnitude 1 N act along with the sides AB, BC, and CD of a regular hexagon. The magnitude of their resultant is:
(1) 4N
(2) Zero
(3) 2 N
(4) 1 N
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.
If is the unit vector in the direction , then:
1.
2.
3.
4.
Which of the following sets of forces cannot give zero resultant?
(1) 3 N, 4 N, 5 N
(2) 9 N, 8 N, 7 N
(3) 16 N, 2 N, 17 N
(4) 30 N, 5 N, 24 N