Problem solving with vectors

12 questions

1. Displacement is the ___ from the starting point when measured in a straight line.
2. Find the resultant vector of 3 {-2\choose 3}+4{1 \choose -2}.
3. Find the resultant vector of 3 {-2\choose 3}-4{1 \choose -2}.
4. You are given that 5 {-1\choose 2}- a{-2 \choose 4} = {3 \choose -6} . The value of a is ___.
5. Which of these diagrams can be used to illustrate 2{6\choose -4}+\frac{1}{2} {-16 \choose -4}?
6. You are given that 2 {-1\choose5}+k{2 \choose-3} = {-6\choose y}. The value of y is ___.
7. A __________ vector is the single vector that produces the same effect as a combination of other vectors.
8. The diagram shows two regular hexagons. Which of these vectors is equal to \mathbf p?
9. The diagram shows two regular hexagons. Which of these vectors is equal to 2\mathbf q?
10. The diagram shows two regular hexagons. Find the vector \overrightarrow {DE}.
11. Given \mathbf a = {2 \choose 3} and \mathbf b = {-1 \choose 2}, find 3\mathbf a + 2 \mathbf b
12. a {3\choose -2} + 4{ 2 \choose b} = {14\choose 0}. The value of b is ___

License: OGL