If , then the direction cosines of the vector are:
(direction cosines (or directional cosines) of a vector are the cosines of the angles between the vector and the three +ve coordinate axes.)
1.
2.
3.
4.
A force \(\mathrm{F}\) applied at a \(30^\circ\) angle to the \(\mathrm{x }\)-axis has the following X and Y components:
1.
2.
3.
4.
A child pulls a box with a force of at an angle of above the horizontal. Then the horizontal
and vertical components of the force will be:
1. 100 N, 175 N
2. 86.6 N, 100 N
3. 100 N, 86.6 N
4. 100 N, 0 N
A force is 60 ° inclined to the horizontal. If its rectangular component in the horizontal direction is 50 N, then the magnitude of the force in the vertical direction is
1. 25 N
2. 75 N
3. 87 N
4. 100 N
Figure shows the orientation of two vectors u and v in the XY plane.
Which of the following is correct?
1. a and p are positive while b and q are negative
2. a, p, and b are positive while q is negative
3. a, q, and b are positive while p is negative
4. a, b, p, and q are all positive