Classify the given physical quantities in vector and scalar. Position, speed, velocity, pressure, acceleration, temperature, force, work, energy.

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If $A = 3\hat i + 4\hat j$ and $B = 7\hat i + 24\hat j,$the vector having the same magnitude as $B$ and parallel to $A$ is

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Define scalar and vector physical quantities with their examples.

With respect to a rectangular cartesian coordinate system, three vectors are expressed as

$\vec a = 4\hat i - \hat j$, $\vec b = - 3\hat i + 2\hat j$ and $\vec c = - \hat k$ 

where $\hat i,\,\hat j,\,\hat k$ are unit vectors, along the $X, Y $ and $Z-$axis respectively. The unit vectors $\hat r$ along the direction of sum of these vector is