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

Subtopic:  Scalars & Vectors |
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Level 1: 80%+
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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.

Subtopic:  Scalars & Vectors |
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Level 2: 60%+
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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 \(\overrightarrow{a}\).
Subtopic:  Scalars & Vectors |
Level 4: Below 35%
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