Addition & Subtraction of Vectors – Graphical Method

Unspecified year 9 questions

1. How many minimum number of vectors in different planes can be added to give zero resultant?
2. Six vectors, $\vec{a}$ through $\vec{f}$ have the magnitudes and directions indicated in the figure. Which of the following statements is true?
3. Which law is governed by the given figure? [add image]
4. Two vectors A and B lie in a plane, a third vector C lies outside this plane, sum of these vectors A + B + C
5. In an octagon ABCDEFGH of equal side, what is the sum of $\overrightarrow{AB} + \overrightarrow{AC} + \overrightarrow{AD} + \overrightarrow{AE} + \overrightarrow{AF} + \overrightarrow{AG} + \overrightarrow{AH}$, if $\overrightarrow{AO} = 2\hat{i} + 3\hat{j} - 4\hat{k}$ [add image]
6. If $0.4\hat{i} + 0.7\hat{j} + c\hat{k}$ is a unit vector, then the value of c is
7. The unit vectors along the three co-ordinate axes are related as
8. $\vec{A}$ can be written in terms of components as $\vec{A} = A_{x}\hat{i} + A_{y}\hat{j} + A_{z}\hat{k}$. When will $|\vec{A}|$ be zero
9. The component of vector $\vec{a} = 2\hat{i} + 3\hat{j}$ along the vector i + j is