The expression $\left( {\frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j} \right)$ is a
The expression $\left( {\frac{1}{{\sqrt 2 }}\hat i + \frac{1}{{\sqrt 2 }}\hat j} \right)$ is a
- A
Unit vector
- B
Null vector
- C
Vector of magnitude $\sqrt 2 $
- D
Scalar
Similar Questions
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 $II$ |
| $(A)$ $\theta=60^{\circ}$ | $(p)$ $n=\sqrt{3}$ |
| $(B)$ $\theta=90^{\circ}$ | $(q)$ $n=1$ |
| $(C)$ $\theta=120^{\circ}$ | $(r)$ $n=\sqrt{2}$ |
| $(D)$ $\theta=180^{\circ}$ | $(s)$ $n=2$ |
How can we represent vector quantity ?
How can we represent vector quantity ?
State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful :
$(a)$ adding any two scalars,
$(b)$ adding a scalar to a vector of the same dimensions ,
$(c)$ multiplying any vector by any scalar,
$(d)$ multiplying any two scalars,
$(e)$ adding any two vectors,
$(f)$ adding a component of a vector to the same vector.
State with reasons, whether the following algebraic operations with scalar and vector physical quantities are meaningful :
$(a)$ adding any two scalars,
$(b)$ adding a scalar to a vector of the same dimensions ,
$(c)$ multiplying any vector by any scalar,
$(d)$ multiplying any two scalars,
$(e)$ adding any two vectors,
$(f)$ adding a component of a vector to the same vector.
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]
A vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in $XY$ plane is
A vector is represented by $3\,\hat i + \hat j + 2\,\hat k$. Its length in $XY$ plane is