The position of a particle in a rectangular co-ordinate system is (3, 2, 5). Then its position vector will be:
1.
2.
3.
4. None of these
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A scalar quantity is one that:
1. | is conserved in a process. |
2. | will never accept negative values. |
3. | must be dimensionless. |
4. | has the same value for observers with different orientations of axes. |
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If \(\vec{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?
1. \(x\vec{a}\) is a vector in the direction of \(\vec{a}\)
2. \(x\vec{a}\) is a vector collinear to \(\vec{a}\)
3. \(x\vec{a}\) and \(\vec{a}\) have independent directions
4. \(x\vec{a}\) is a vector perpendicular to \(\vec{a}\)
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.
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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.
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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
If and and are non-zero vectors, then :
1. is parallel to
2. =
3. and are mutually perpendicular
4.