Pick out the two scalar quantities in the following list :
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, relative velocity.
Pick out the two scalar quantities in the following list :
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, relative velocity.
Work and current are scalar quantities.
Work done is given by the dot product of force and displacement. Since the dot product of two quantities is always a scalar, work is a scalar physical quantity.
Current is described only by its magnitude. Its direction is not taken into account. Hence, it is a scalar quantity.
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Find the unit vector of a vector whose co-ordinates are $(8,\, 6)$.
Find the unit vector of a vector whose co-ordinates are $(8,\, 6)$.
$\overrightarrow{ A }=4 \hat{ i }+3 \hat{ j }$ and $\overrightarrow{ B }=4 \hat{ i }+2 \hat{ j }$. Find a vector parallel to $\overrightarrow{ A }$ but has magnitude five times that of $\vec{B}$.
How the magnitude of vector quantity is represented ?
How the magnitude of vector quantity is represented ?
A vector has a magnitude $x$. If it is rotated by an angle $\theta$, then magnitude of change in vector is $n x$. Match the following two columns.
Colum $I$
Colum $II$
$(A)$ $\theta=60^{\circ}$
$(p)$ $n=\sqrt{3}$
$(B)$ $\theta=90^{\circ}$
$(q)$ $n=1$
$(C)$ $\theta=120^{\circ}$
$(r)$ $n=\sqrt{2}$
$(D)$ $\theta=180^{\circ}$
$(s)$ $n=2$
| Colum $I$ | Colum $II$ |
| $(A)$ $\theta=60^{\circ}$ | $(p)$ $n=\sqrt{3}$ |
| $(B)$ $\theta=90^{\circ}$ | $(q)$ $n=1$ |
| $(C)$ $\theta=120^{\circ}$ | $(r)$ $n=\sqrt{2}$ |
| $(D)$ $\theta=180^{\circ}$ | $(s)$ $n=2$ |