243 results for "vector".

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• Question

Linear combinations of $2$ dimensional vectors.

• Question in Matrices

This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

• Question

No description given

• Question

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

• Question

Find the sum of two 2-dimensional vectors, graphically and exactly using the parallelogram rule.

• Question

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

• Question

Determine the resultant of three random 2-D vectors.

• Question

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.

• Arbitrary components
Question

Determine the oblique components of a vector.

• Question

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

• Question in Archive

Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

• Question in Archive

This question concerns the evaluation of the eigenvalues and corresponding eigenvectors of a 2x2 matrix.

• Question
Part of the tutorial to introduse students to MATLAB programming.
• Question

Download a file and scan the values into R to obtain a numeric vector of values. Then use R to explore your numeric vector in order to find the answers to these questions.

• Question

$A,\;B$ $2 \times 2$ matrices. Find eigenvalues and eigenvectors of both. Hence or otherwise, find $B^n$ for largish $n$.

• Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

• Question in PA1720

Curl and divergence of a vector field.  Determine whether the vector field is irrotational or solenoidal.

• Question in How-tos

Construct a line in a GeoGebra worksheet by writing its definition string by hand.

This isn't a very neat way of doing this. It's easier to define two points in GeoGebra, then make a line through those points. You can set the positions of the points from Numbas using vectors.

• List all vectors in a spanning set.

(repeated 3 times)

• Question

Parametric form of a curve, cartesian points, tangent vector, and speed.

• Question

Determine if various combinations of vectors are defined or not.

• When are vectors $\boldsymbol{v,\;w}$ orthogonal?

Part b) is not answered in Advice, the given solution is for a different question.

• Find minimum distance between a point and a line in 3-space. The line goes through a given point in the direction of a given vector.

The correct solution is given, however the accuracy of 0.001  is not enough as in some cases answers near to the correct solution are also marked as correct.

• Angle between vectors
Question

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

• Question

Calculations of the lengths of two 3D vectors, the distance between their terminal points, their sum, difference, and dot and cross products.

• Question

Given vectors $\boldsymbol{v}$ and $\boldsymbol{w}$, find their inner product.

• Vector cross product
Given vectors $\boldsymbol{A,\;B}$, find $\boldsymbol{A\times B}$
• Given a set of vectors, find a basis which generates their span as a subspace of $\mathbb{Z}_n$.