Given \(\overrightarrow {a}+ \overrightarrow {b}+\overrightarrow {c}+\overrightarrow {d}=0\), which one of the following is incorrect?
1. | \(\overrightarrow {a}\), \(\overrightarrow {b}\), \(\overrightarrow {c}\) and \(\overrightarrow {d}\) must be null vectors. |
2. | The magnitude of \(\overrightarrow {a}+\overrightarrow {c}\) equals the magnitude of \(\overrightarrow {b}+\overrightarrow {d}\). |
3. | The magnitude of \(\overrightarrow {a}\) can never be greater than the sum of the magnitudes of \(\overrightarrow {b}, \overrightarrow {c}\) and \(\overrightarrow {d}\). |
4. | \(\overrightarrow {b}+\overrightarrow {c}\) must lie in the plane of \(\overrightarrow {a}\) and \(\overrightarrow {d}\) if \(\overrightarrow {a}\) and \(\overrightarrow {d}\) are not collinear, and along the direction of \(\overrightarrow {a}\) and \(\overrightarrow {d}\) if they are collinear. |
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. |