Home » Maths for Planet Earth » Monitoring Currents

Monitoring Currents


In this question, all distances are measured in kilometres.

2 deep sea ocean current monitors, A and B, have position vectors (-1, 7, k) and (4, 1, 10) respectively, relative to a fixed origin. Given that the distance from A to B is \(5\sqrt{5}\)km,

a) Find the possible values of the constant k.

[3 marks]

b) For the larger value of k, find the unit vector in the direction of \(\overrightarrow{\text{OA}}\)

[3 marks]

Start exploring

Latest from blog

More Maths for Planet Earth

A Level
The graph below shows how the rate of CO2 emissions varies from 1800 to 2017. This curve can be approximated as (E = 1.5e^{0.02t})
A Level
A scientist wishes to develop a new way of generating renewable energy. They decide to use a large magnet on a large spring, oscillating
A Level
In a simple model, the surface area, S km2, of a shrinking rainforest depends on the time, t, in years since 1980. The following
The table gives information about how the UK used its energy in 2017. CREDS calculations based on BEIS (2018) Sector Percentage of UK energy