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Given one point and the gradient determine the equation of the line.

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Given the graph of the line determine the equation of the line.

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Solving inequalities that involve a quadratic and where the right-hand side is not 0. 

Solving inequalities that involve a quadratic and where the right-hand side is 0.

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Students will locate and write the equation for the axis of symmetry of a quardatic function from graph.

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant

Add three vectors by determining their scalar components, summing them and then resolving the rectangular components to find the magnitude and direction of the resultant.

Given three vectors with integer components, find the corresponding magnitude and direction.

Given three vectors, arrange them in a tip to tail arrangement using geogebra, then estimate the magnitude and direction of their resultant.

Determine the resultant of three random 2-D vectors.  

Given vectors  $\boldsymbol{v,\;w}$, find the angle between them.

Add three vectors by determining their scalar components and summing them.

Directional derivative of a scalar field.

Given a 3 x 3 matrix, and two eigenvectors find their corresponding eigenvalues. Also fnd the characteristic polynomial and using this find the third eigenvalue and a normalised eigenvector $(x=1)$.