Which of the following is the unit vector perpendicular to $\overrightarrow A $ and $\overrightarrow B $
Which of the following is the unit vector perpendicular to $\overrightarrow A $ and $\overrightarrow B $
- A
$\frac{{\hat A \times \hat B}}{{AB\,\sin \theta }}$
- B
$\frac{{\hat A \times \hat B}}{{AB\,\cos \theta }}$
- C
$\frac{{\overrightarrow A \times \overrightarrow B }}{{AB\,\sin \theta }}$
- D
$\frac{{\overrightarrow A \times \overrightarrow B }}{{AB\,\cos \theta }}$
Similar Questions
Two vectors $A$ and $B$ have equal magnitude $x$. Angle between them is $60^{\circ}$. Then, match the following two columns.
colum $I$
colum $II$
$(A)$ $|A+B|$
$(p)$ $\frac{\sqrt{3}}{2} x$
$(B)$ $|A-B|$
$(q)$ $x$
$(C)$ $A \cdot B$
$(r)$ $\sqrt{3} x$
$(D)$ $|A \times B|$
$(s)$ None
| colum $I$ | colum $II$ |
| $(A)$ $|A+B|$ | $(p)$ $\frac{\sqrt{3}}{2} x$ |
| $(B)$ $|A-B|$ | $(q)$ $x$ |
| $(C)$ $A \cdot B$ | $(r)$ $\sqrt{3} x$ |
| $(D)$ $|A \times B|$ | $(s)$ None |
Vector $P =6 \hat{ i }+4 \sqrt{2} \hat{ j }+4 \sqrt{2} \hat{ k }$ makes angle from $z$-axis equal to
If $A =a_1 \hat{ i }+b_1 \hat{ j }$ and $B =a_2 \hat{ i }+b_2 \hat{ j }$, the condition that they are perpendicular to each other is
The angle between $(\overrightarrow A - \overrightarrow B )$ and $(\overrightarrow A \times \overrightarrow B )$ is $(\overrightarrow{ A } \neq \overrightarrow{ B })$
The angle between $(\overrightarrow A - \overrightarrow B )$ and $(\overrightarrow A \times \overrightarrow B )$ is $(\overrightarrow{ A } \neq \overrightarrow{ B })$
- [NEET 2017]
If $|\overrightarrow A \times \overrightarrow B |\, = \,|\overrightarrow A \,.\,\overrightarrow B |,$ then angle between $\overrightarrow A $ and $\overrightarrow B $ will be ........ $^o$
If $|\overrightarrow A \times \overrightarrow B |\, = \,|\overrightarrow A \,.\,\overrightarrow B |,$ then angle between $\overrightarrow A $ and $\overrightarrow B $ will be ........ $^o$
- [AIIMS 2000]