If a unit vector is represented by $0.5\hat i + 0.8\hat j + c\hat k$, then the value of ‘$c$’ is
If a unit vector is represented by $0.5\hat i + 0.8\hat j + c\hat k$, then the value of ‘$c$’ is
- [AIPMT 1999]
- A
$1$
- B
$\sqrt {0.11} $
- C
$\sqrt {0.01} $
- D
$\sqrt {0.39} $
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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 $II$ |
| $(A)$ $\theta=60^{\circ}$ | $(p)$ $n=\sqrt{3}$ |
| $(B)$ $\theta=90^{\circ}$ | $(q)$ $n=1$ |
| $(C)$ $\theta=120^{\circ}$ | $(r)$ $n=\sqrt{2}$ |
| $(D)$ $\theta=180^{\circ}$ | $(s)$ $n=2$ |