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
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
- A
$5\hat i + 20\hat j$
- B
$15\hat i + 10\hat j$
- C
$20\hat i + 15\hat j$
- D
$15\hat i + 20\hat j$
Similar Questions
Any vector in an arbitrary direction can always be replaced by two (or three)
Any vector in an arbitrary direction can always be replaced by two (or three)
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 $II$ |
| $(A)$ $\theta=60^{\circ}$ | $(p)$ $n=\sqrt{3}$ |
| $(B)$ $\theta=90^{\circ}$ | $(q)$ $n=1$ |
| $(C)$ $\theta=120^{\circ}$ | $(r)$ $n=\sqrt{2}$ |
| $(D)$ $\theta=180^{\circ}$ | $(s)$ $n=2$ |
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.
A particle starting from the origin $(0, 0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3 , 3) .$ The path of the particle makes with the $x-$axis an angle of ......... $^o$
A particle starting from the origin $(0, 0)$ moves in a straight line in the $(x, y)$ plane. Its coordinates at a later time are $(\sqrt 3 , 3) .$ The path of the particle makes with the $x-$axis an angle of ......... $^o$
- [AIPMT 2007]
How the magnitude of vector quantity is represented ?
How the magnitude of vector quantity is represented ?