Question

which of the following values could be a magnitude? choose all that apply. 0.096 -7.1 94 0 27.4 -135 165

Explanation:

Step1: Recall the property of magnitude

Magnitude is a non - negative quantity.

Step2: Check each value

• For \(0.096\): Since \(0.096>0\), it can be a magnitude.
• For \(-7.1\): Since \(-7.1 < 0\), it cannot be a magnitude.
• For \(94\): Since \(94>0\), it can be a magnitude.
• For \(0\): Since \(0\geq0\), it can be a magnitude (magnitude of a zero - vector is \(0\)).
• For \(27.4\): Since \(27.4>0\), it can be a magnitude.
• For \(-135\): Since \(-135 < 0\), it cannot be a magnitude.
• For \(165\): Since \(165>0\), it can be a magnitude.

Answer:

\(0.096\), \(94\), \(0\), \(27.4\), \(165\)