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.

Subtopic:  Resultant of Vectors |
 52%
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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 |
 61%
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