Motion in a Plane
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<p><strong>Q.4.6 Establish the following vector inequalities geometrically or otherwise:</strong></p>
<p><strong>(a)</strong> |a+b| < |a| + |b|</p>
<p><strong>(b)</strong> |a+b| > a| −|b</p>
<p><strong>(c)</strong> |a−−b| < |a| + |b|</p>
<p><strong>(d)</strong> |a−−b| > a| − |b</p>
<p>When does the equality sign above apply?</p>
Q.4.1 State, for each of the following physical quantities, if it is a scalar or a vector: volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.
Q.4.1 State, for each of the following physical quantities, if it is a scalar or a vector: volume, mass, speed, acceleration, density, number of moles, velocity, angular frequency, displacement, angular velocity.
Ans.4.1 A scalar quantity depends only on the magnitude – volume, mass, speeds, density, number of moles, angular frequency are all scalar quantities.
A vector quantity depends on magnitude and direction – velocity, acceleration, displacement and angular velocity are all vector quantities.
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