The unit vector along $\hat i + \hat j$ is
$\hat k$
$\hat i + \hat j$
$\frac{{\hat i + \hat j}}{{\sqrt 2 }}$
$\frac{{\hat i + \hat j}}{2}$
Colum $I$ | Colum $II$ |
$(A)$ $\theta=60^{\circ}$ | $(p)$ $n=\sqrt{3}$ |
$(B)$ $\theta=90^{\circ}$ | $(q)$ $n=1$ |
$(C)$ $\theta=120^{\circ}$ | $(r)$ $n=\sqrt{2}$ |
$(D)$ $\theta=180^{\circ}$ | $(s)$ $n=2$ |
If $\overrightarrow A = 2\hat i + 4\hat j - 5\hat k$ the direction of cosines of the vector $\overrightarrow A $ are
The unit vector parallel to the resultant of the vectors $\vec A = 4\hat i + 3\hat j + 6\hat k$ and $\vec B = - \hat i + 3\hat j - 8\hat k$ is
Classify the given physical quantities in vector and scalar. Position, speed, velocity, pressure, acceleration, temperature, force, work, energy.
$100$ coplanar forces each equal to $10 \,N$ act on a body. Each force makes angle $\pi /50$ with the preceding force. What is the resultant of the forces.......... $N$