The position of a particle in a rectangular co-ordinate system is \((3, 2, 5)\). Then its position vector will be:
1. \(5\hat i + 6\hat j + 2\hat k\)
2. \(3\hat i + 2\hat j + 5\hat k\)
3. \(5\hat i + 3\hat j + 2\hat k\)
4. None of these
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. |
If \(\overrightarrow{a}\) is a vector and \(x\) is a non-zero scalar, then which of the following is correct?
| 1. | \(x\overrightarrow{a}\) is a vector in the direction of \(\overrightarrow{a}\). |
| 2. | \(x\overrightarrow{a}\) is a vector collinear to \(\overrightarrow{a}\). |
| 3. | \(x\overrightarrow{a}\) and \(\overrightarrow{a}\) have independent directions. |
| 4. | \(x\overrightarrow{a}\) is a vector perpendicular to \(\overrightarrow{a}\). |