Given $6$ vectors in $\mathbb{R^4}$ and given that they span $\mathbb{R^4}$ find a  basis.

Given the following three vectors $\textbf{v}_1,\;\textbf{v}_2,\;\textbf{v}_3$ Find out whether they are a linearly independent set are not. Also if linearly dependent find the relationship $\textbf{v}_{r}=p\textbf{v}_{s}+q\textbf{v}_{t}$ for suitable $r,\;s,\;t$ and integers $p,\;q$.

Given $5$ vectors in $\mathbb{R^4}$ determine if a spanning set for $\mathbb{R^4}$ or not by looking for any simple dependencies between the vectors.

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

Homework set.  Identify zero force members and utilize special loading conditions to simplify trusses.

When saving the data necessary to resume an attempt, Numbas only saves the values of variables which use the random number generator.

If you naively generate a large random sample in one variable, it'll be marked as a source of randomness so Numbas will save every value in the sample. Loading this value when you resume the attempt can be very slow.

Instead, you can generate a seed value in one variable and then use it with the seedrandom function in the variable that stores your random list. Only the value of the seed needs to be saved.

Homework set.  Find 2-D moments or balance moments using Verignon's theorem:  $ M = \pm F_x d_y \pm F_y d_x$

Homework set.  Problems involving two interacting particles.

Homework set.  Variations on problems involving single particle equilibrium.

Homework set.  Vector addition in two dimensions by summing scalar components.

Homework set.  Determine the moment of a force using the definition of the moment, $M = F d_\perp$.

Homework set.  Find statically equivalent systems of forces.

Homework set.  Rigid body equilibrium solved using the three-force body principle.

Homework set.  Find reactions for various 2-D rigid bodies in equilibrium.

Homework set.  Find reactions for various 2-D rigid bodies in equilibrium.

Homework set.  Identify student errors when drawing free body diagrams.

Homework set.  Calculate resultant moment of one or more couples. 

Homework set.  Find components of vectors in various situations.

Homework Set.  Three problems to brush up on trig skills.  Right triangles and sine and cosine law.

Homwork Set.  Covers graphical, and trigonometric methods of vector addition.

A random dataset given by a linear function with noise (gradient and y-intercept of the linear function are randomised as is distribution of x values).

A set of MCQ designed to help Level 2 Engineering students prepare/practice for the on-line GOLA test that is used to assess the C&G 2850, Level 2 Engineering, Unit 202: Engineering Principles.

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Homework set.  Calculate Moment of Inertia for I beams, channels, angles, etc.

Homework set.  Find internal shear force, normal force, and bending moment at a designated point in a rigid body.

Homework set.  Frame and machine problems.

Homework set.  More frame and machine problems.

Homework set.  Frame and machine problems.

Homework set.  Trusses solved using the method of sections

Homework set. Find the forces in truss members using the method of joints.