1.Define a unit vector. What is its magnitude and physical purpose?
2.State the triangle law of vector addition.
3.What is the dot product of two perpendicular vectors?
4.Calculate the magnitude of $\vec{A} = 3\hat{i} + 4\hat{j} + 12\hat{k}$.
5.Find the angle between $\vec{A} = \hat{i} + \hat{j}$ and $\vec{B} = \hat{j} + \hat{k}$.
6.Find the cross product $\vec{A} \times \vec{B}$ for $\vec{A} = 2\hat{i} + 3\hat{j}$ and $\vec{B} = \hat{i} + 4\hat{j}$.
7.A force $\vec{F} = (5\hat{i} + 3\hat{j} + 2\hat{k})\text{ N}$ displaces a body by $\vec{d} = (2\hat{i} - \hat{j})\text{ m}$. Find work done.
8.Find the projection of $\vec{A} = 2\hat{i} + 3\hat{j}$ on $\vec{B} = \hat{i} + \hat{j}$.
