Welcome to your Vector Algebra Quiz 1
1. For a given vector $\vec{a}$ the its unit vector $\hat{a}$ is given by
2. Given Vectors $\vec{p} = a_1\hat{i} + b_1\hat{j} +c_1\hat{b}$ and $\vec{q} = a_2\hat{i} + b_2\hat{j} +c_2\hat{b}$ are perpendicular then.
3. Given Vectors $\vec{p} = a_1\hat{i} + b_1\hat{j} +c_1\hat{b}$ and $\vec{q} = a_2\hat{i} + b_2\hat{j} +c_2\hat{b}$ are parallel then.
4. Which of the following is incorrect?
5. If $\vec{a} $ and $ \vec{b}$ represent the adjacent sides of a parallelogram with angle $\theta $ between them then its area is given by...
6. Which of the following will give the angle between $\vec{a}$ and $\vec{b}$?
7. Which of the following statements is incorrect?
8. Statement: Two or more vectors are said to be collinear if they are parallel to the same line, irrespective of their magnitudes and directions.
9. If l, m and n are the direction cosines of a given vector then which of the following is true?
10. Projection of $\vec{a}$ on $\vec{b}$ is given by:
