\((-34, -5)^T\)
\((-34, -5)\)
\((-34, 15)\)
\((34, 15)^T\)
Invalid combination
question id: beech-iron-clock-1
\[ \newcommand{\dnorm}{\text{dnorm}} \newcommand{\pnorm}{\text{pnorm}} \newcommand{\recip}{\text{recip}} \]
Exercise 1 Note: The radio-button multiple choice questions don’t allow us to display a column vector as such. Instead, we use the notation involving a superscript T. For instance, \((2, -3)^T\) is a column vector which we would ordinarily write \(\left(\begin{array}{c}2\\-3\end{array}\right)\) A vector written like \((2, -3)\), without the \(^T\), is a row vector.
Suppose \[\vec{\mathbf{u}} \equiv \left(\begin{array}{c}2\\-3\end{array}\right) \ \ \hbox{and}\ \ \vec{\mathbf{v}} \equiv \left(\begin{array}{c}4\\1\end{array}\right)\] Compute the following linear combinations (arithmetically) …
\((-34, -5)^T\)
\((-34, -5)\)
\((-34, 15)\)
\((34, 15)^T\)
Invalid combination
question id: beech-iron-clock-1
\((-1, -7.6)^T\)
\((0.8)\)
\((-1, -7.6)\)
\((2.1, -1.3)^T\)
Invalid combination
question id: beech-iron-clock-2
\((11.8, 4.7)^T\)
\((2.7)\)
\((13.8, 1.7)\)
\((34, 16)^T\)
Invalid combination
question id: beech-iron-clock-3
\((34, -16)^T\)
\((32, -14)^T\)
\((34, -14)^T\)
\((32, -16)^T\)
Invalid combination
question id: beech-iron-clock-4
Exercise 2 Here are some vectors to use in answering the following questions.
\[\vec{u} \equiv \left[\begin{array}{r} -100\\\ 98\\\ 9\\ -81\\\ 90\end{array}\right]\ \ \ \vec{v} \equiv \left[\begin{array}{r}\ 21\\\ 37\\\ 93\\ -41\\ -93\end{array}\right]\ \ \ \vec{w} \equiv \left[\begin{array}{r} -97\\ -11\\\ 33\\ -49\\\ 91\end{array}\right]\]
Calculate the length of each of these vectors in the corresponding interactive R chunk.
Exercise 3 Using R/mosaic and the %dot%
and sqrt()
functions, calculate the length of each of these vectors:
Exercise 4
{{< include ./Block_3/girl-send-scarf.qmd >}}Exercise 5
{{< include ./Block_3/tiger-run-futon.qmd >}}Exercise 6
{{< include ./Block_3/kangaroo-have-closet.qmd >}}Exercise 7
{{< include ./Block_3/lamb-throw-candy.qmd >}}Exercise 8
{{< include ./Block_3/panda-think-plate.qmd >}}Exercise 9
{{< include ./Block_3/duck-do-pantry.qmd >}}Exercise 10
{{< include ./Block_3/crocodile-talk-mattress.qmd >}}Exercise 11
{{< include ./Block_3/duck-do-pantry.qmd >}}Exercise 12
{{< include ./Block_3/snake-choose-ring.qmd >}}