If $A$ is a unit vector in a given direction, then the value of $\hat{ A } \cdot \frac{d \hat{ A }}{d t}$ is
- A$0$
- B$1$
- C$\frac{1}{2}$
- D$2$
Similar Questions
Vector $A$ is pointing eastwards and vector $B$ northwards. Then, match the following two columns.
Colum $I$
Colum $II$
$(A)$ $(A+B)$
$(p)$ North-east
$(B)$ $(A-B)$
$(q)$ Vertically upwards
$(C)$ $(A \times B)$
$(r)$ Vertically downwards
$(D)$ $(A \times B) \times(A \times B)$
$(s)$ None
| Colum $I$ | Colum $II$ |
| $(A)$ $(A+B)$ | $(p)$ North-east |
| $(B)$ $(A-B)$ | $(q)$ Vertically upwards |
| $(C)$ $(A \times B)$ | $(r)$ Vertically downwards |
| $(D)$ $(A \times B) \times(A \times B)$ | $(s)$ None |
The vector sum of two forces is perpendicular to their vector differences. In that case, the forces
- [AIPMT 2003]
The angle between the vectors $\overrightarrow A $ and $\overrightarrow B $ is $\theta .$ The value of the triple product $\overrightarrow A \,.\,(\overrightarrow B \times \overrightarrow A \,)$ is
The angle between the vectors $\overrightarrow A $ and $\overrightarrow B $ is $\theta .$ The value of the triple product $\overrightarrow A \,.\,(\overrightarrow B \times \overrightarrow A \,)$ is
- [AIPMT 1991]
Obtain scalar product in terms of Cartesian component of vectors.
Obtain scalar product in terms of Cartesian component of vectors.
What is the angle between $\vec A\,\,$ and $\vec B\,\,$ if $\vec A\,\,$ and $\vec B\,\,$ are the adjacent sides of a parallelogran drawn from a common point and the area of the parallelogram is $\frac {AB}{2}$
What is the angle between $\vec A\,\,$ and $\vec B\,\,$ if $\vec A\,\,$ and $\vec B\,\,$ are the adjacent sides of a parallelogran drawn from a common point and the area of the parallelogram is $\frac {AB}{2}$