Exercise 7.1

Exercise 7.1

1. Draw the following vectors.

2. Draw the vectors on the graph paper when p is 4cm long making an angle of 45° with x-axis.

3. Draw vectors a = 3 units west and b = 3 units north on graph paper. Draw the following vectors on the graph paper.

4. In the figure, direction of a is 4 square units to the right and 3 square units up. Find the relation of other vectors with a.

5. A point with coordinates (5, -7) have been translated by the vector [0, -3]. Find new position of the point.

6. A vector [-5,4] have been translated by another vector [4, -3]. Find new location of the given vector.

7. Triangle ABC is a pre-image with its vertices at A = (-4,6), B = (-1,4), and C = (-6,1). Find the coordinates of the image if: (i) the triangle is translated by [5,0] (ii) the triangle is translated by [-3,-4].

8. What translation by vector would be needed to bring the point E(-6,5) to the origin?