Dot and cross product combinations

Error

There was an error loading the page.

Contributors

Newcastle University Mathematics and Statistics

Feedback

From users who are not members of Content created by Newcastle University :

Bill Foster

said

Ready to use

6 years, 4 months ago

History

○

Bill Foster 6 years, 4 months ago

Gave some feedback: Ready to use

○

Newcastle University Mathematics and Statistics 9 years, 1 month ago

Created this.

Name	Status	Author	Last Modified
Dot and cross product combinations	Ready to use	Newcastle University Mathematics and Statistics	20/11/2019 14:51
Harry's copy of Dot and cross product combinations	draft	Harry Flynn	09/03/2018 14:36

There are 8 other versions that do you not have access to.

Question statement

Given the vectors $\boldsymbol{A},\;\;\boldsymbol{B}$ and $\boldsymbol{C}$ in $3$ dimensional space, state whether the following quantities are scalars, vectors or undefined.

Give any introductory information the student needs.

			Name	Type	Generated Value

Automatically regenerate variables?

No variables have been defined in this question.

Parts

Match choices with answers

Match choices with answers

Ask the student a question, and give any hints about how they should answer this part.

Minimum marks

Maximum marks

(no maximum)

Show correct answer on reveal?

Show score feedback icon?

Advanced settings

Minimum answers

Maximum answers

(no maximum)

What to do if wrong number of answers selected:

Selection type

Layout

Show choice feedback state?

$\boldsymbol{(A\cdot B)\cdot C}$
$\boldsymbol{(A\cdot B)C}$
$\boldsymbol{(A\cdot B)\times C}$
$\boldsymbol{(A\times B)\times C}$
$\boldsymbol{(A\times B)\cdot C}$

Scalar
Vector
Undefined

For each combination of answer and choice, specify the number of marks to add or subtract when the student picks it.

	Scalar	Vector	Undefined
$\boldsymbol{(A\cdot B)\cdot C}$
$\boldsymbol{(A\cdot B)C}$
$\boldsymbol{(A\cdot B)\times C}$
$\boldsymbol{(A\times B)\times C}$
$\boldsymbol{(A\times B)\cdot C}$

Advice

1. $\boldsymbol{(A\cdot B)\cdot C}$ is undefined as $\boldsymbol{A\cdot B}$ is a scalar and we cannot take the inner product of a scalar with the vector $\boldsymbol{C}$ .

2. $\boldsymbol{(A\cdot B)C}$ is a vector and is a multiple of $\boldsymbol{C}$ as $\boldsymbol{A \cdot B}$ is a scalar.

3. $\boldsymbol{(A\cdot B)\times C}$ is undefined as $\boldsymbol{A\cdot B}$ is a scalar and the cross product is only defined between vectors.

4. $\boldsymbol{(A\times B)\times C}$ is a vector as $\boldsymbol{A \times B}$ and $\boldsymbol{C}$ are vectors and the cross product between vectors produces a vector.

5. $\boldsymbol{(A\times B)\cdot C}$ is a scalar as $\boldsymbol{A \times B}$ and $\boldsymbol{C}$ are vectors and the inner or dot product is between vectors and produces a scalar.

Give a worked solution to the whole question.

Use this tab to check that this question works as expected.

There was an error which means the tests can't run:

Part	Test	Passed?
Match choices with answers
Match choices with answers		Hasn't run yet

This question is used in the following exams:

Vector calculus by Newcastle University Mathematics and Statistics in Content created by Newcastle University.
Jorj's copy of Vector calculus by Jorj Kowszun in Jorj's workspace.
Alvaro's copy of Vector calculus by Alvaro Martínez in Alvaro's workspace.
Vector calculus by steve kilgallon in Vector Calculus.
Vector calculus exam by Simon Thomas in Vector calculus.
Nicolas's copy of Vector calculus by Nicolas Sawyer in Nicolas's workspace.
Vector calculus by Michael Proudman in .Vectors.
All the good stuff by Chris Templet in Chris's workspace.
Vector calculus by steve kilgallon in Vectors.
Vector Calculus by Ugur Efem in Ugur's workspace.

Loading...

Error

Metadata

Taxonomy: mathcentre

Taxonomy: Kind of activity

Taxonomy: Context