Question

Find the stated lengths in each parallelogram

Answer 1

To find the stated lengths in each parallelogram, measure the diagonals. For part (a), the sum of the vectors is 5.8 cm with an angle OR ≈ 0°. The difference between the vectors is 16.2 cm with an angle Op : 49.3°.

Step-by-step explanation:

To find the stated lengths in each parallelogram, we need to measure the diagonals of the parallelograms.

For the parallelogram in part (a), the shorter diagonal represents the sum of the two vectors A and B, while the longer diagonal represents the difference between the two vectors. We can use a ruler and a protractor to measure the lengths and angles.

In Figure 2.14, the length of the resultant R is 5.8 cm with an angle OR ≈ 0°. The length of the difference D is 16.2 cm with an angle Op : 49.3°.

Answer 2

40/3, 172/3, respectively

Step-by-step explanation:

x + 9 = 2y

2x = 2y + 2

x + 9 = 2(2x - 2)

4x - 4 = x + 9

3x - 13 = 0

x = 13/3

y = 40/6

RT = 13/3 + 9 = 40/3

QS = 160/3 + 4 = 172/3