Another example of finding the $x$ and $y$ components when multiple forces are applied at different angles to a particle.

Find the $x$ and $y$ components of the resultant force on an object, when multiple forces are applied at different angles.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ direction but the positive $y$. 

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force is applied in the negative $x$ and negative $y$ direction.

A particle is in equilibrium on an incline. Four forces are acting on it. You're given the angle of the incline and three forces. Resolve the forces to find the angle and magnitude of the other force.

Find the area of a triangle where all three coordinates of the vertices are given.

A block lies on rough horizontal ground. The coefficient of friction is given and students find the maximum value of friction $F_{\text{MAX}} = \mu R$. This is then used to determine the magnitude of force that must be exceeded to achieve movement when the force is applied horizontally and at two different angles to the horizontal.

Find the $x$ and $y$ components of a force which is applied at an angle to a particle. Resolve using $F \cos \theta$. The force acts in the positive $x$ and positive $y$ direction.

Ratio of sides of rectangles

A particle is projected up a rough plane at a given speed. Given the angle of the slope and the coefficient friction, find the distance the particle travels before it comes to instantaneous rest.

Finding the acceleration of a particle on an inclined plane which is at an angle to the horizontal. Smooth then with value for coefficient of friction.

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An example of using the GeoGebra extension to ask the student to create a geometric construction, with marking and steps.

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Gitt vektorene  $\boldsymbol{A,\;B}$, finn vinkelen mellom dem.

Finding Cosine and Tangent values for an angle if Sine value is given. 

Convert degrees to radians and radians to degrees.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

A question testing the application of the Sine Rule when given two sides and an angle.  In this question the triangle is obtuse and the first angle to be found is obtuse.

A question testing the application of the Cosine Rule when given three side lengths. In this question, the triangle is always acute. A secondary application is finding the area of a triangle.

The javascript function edge(...) draws the edges of a triangle

Given the vector equations of two straight lines, find the angle between them

Equilateral triangle

Area of triangle

Area of triangle

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

5 questions on vectors. Scalar product, angle between vectors, cross product, when are vectors perpendicular, combinations of vectors defined or not.

Finding lengths of sides of triangles

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The custom function rectangle(width,height) draws a rectangle with the given dimensions, along with some labels.