Question

Given the following vectors: d₁=2.5 cm [S]and d₂=4.3 cm [W]. Solve dₜₒₜ=d₁+(-d₂)

Answer 1

The total displacement,
`\(d_{\text{total}}\)`, is 1.8 cm [E].

Step-by-step explanation:

To find the total displacement
`(\(d_{\text{total}}\))`, we add the individual displacements vectorially. The displacement
`\(d_1\)` is 2.5 cm [S], and the displacement
`\(d_2\)` i s 4.3 cm [W]. The negative sign before
`\(d_2\)` indicates the direction, which is west.

`\(d_{\text{total}} = d_1 + (-d_2)\)`

`\(d_{\text{total}} = 2.5 \, \text{cm} + (-4.3 \, \text{cm})\)`

`\(d_{\text{total}} = 2.5 \, \text{cm} - 4.3 \, \text{cm}\)`

`\(d_{\text{total}} = -1.8 \, \text{cm}\)`

The negative sign indicates the direction, which is east. Therefore, the total displacement is 1.8 cm [E].