Working with vectors for SQA Higher Maths
This page covers the following topics:
1. Component form of vectors
If given the angle the vector makes with the x or y axis and the magnitude of the vector, we can work out the vector equations using trigonometry (SOHCAHTOA).
What is the y component of a vector that has a magnitude of 50 which makes a 20º angle with the x axis?
Find a vector opposite to the one shown in the diagram. Give your answer as a row vector rounding each coordinate to integers.
v = (−7 −4)
An airplane travels at a speed of 100 km/h due north. Winds of 40 km/h travelling due west hit the airplane. What is the new angle the airplane travels in, with respect to the north?
Find a Cartesian vector equation for an opposite vector to the one shown in the diagram. Round each coordinate coefficient to an integer.
v = 7i − 4j
Vector v has a magnitude of 30 and makes an angle of 55° with the y axis. Find the vector equation for v in i, j notation.
v = 24.5i + 17.2j
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