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- 10 minutes in duration
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- A mixture of short answer and multiple-choice questions
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- Question 1 of 10
##### 1. Question

State the vectors which are equal to \(\vec x\).

CorrectIncorrect - Question 2 of 10
##### 2. Question

Consider the vector, \(\vec a\) , whose magnitude is 20 and whose true bearing is \(120^\circ \). Find \(x\) and \(y\) if \(\vec a = x\vec i + y\vec j\), correcting to two decimal places.

\(x = \) , \(y = \)

CorrectIncorrect - Question 3 of 10
##### 3. Question

Find the vector equation of the following diagram.

CorrectIncorrect - Question 4 of 10
##### 4. Question

Find \(\overrightarrow {BM} \).

CorrectIncorrect - Question 5 of 10
##### 5. Question

Find \(x\) and \(y\), if the vector \(\overrightarrow {BC} \) in unit vector form is \( x\vec{i} + y \vec{j} \)

\(x = \) , \(y = \)

CorrectIncorrect - Question 6 of 10
##### 6. Question

Find the positive value of \(k\), correcting to three significant figures, if the length of \( \begin{pmatrix} k \\ – 3 \end{pmatrix} \) is 7.2.

CorrectIncorrect - Question 7 of 10
##### 7. Question

Given \(\vec a = \left( {\begin{array}{*{20}{c}}

4\\

5

\end{array}} \right)\) and \(\vec b = \left( {\begin{array}{*{20}{c}}

{ – 2}\\

3

\end{array}} \right)\), find \(\left| {\vec a – \vec b} \right|\), correcting to two significant figures.CorrectIncorrect - Question 8 of 10
##### 8. Question

Find \(k\) given the unit vector \(\left( {\begin{array}{*{20}{c}}

{2k}\\

k\\

{0.2}

\end{array}} \right)\), correcting to two significant figures.CorrectIncorrect - Question 9 of 10
##### 9. Question

Given \(\vec a = \left( {\begin{array}{*{20}{c}}

3\\

5\\

{ – 1}

\end{array}} \right),\vec b = \left( {\begin{array}{*{20}{c}}

1\\

3\\

{ – 4}

\end{array}} \right)\) and \(\vec c = \left( {\begin{array}{*{20}{c}}

3\\

– 2\\

7

\end{array}} \right)\), find \(\left| {\vec a – \vec b + 3\vec c} \right|\), correcting to two significant figures.CorrectIncorrect - Question 10 of 10
##### 10. Question

Find \(k\), correcting to two significant figures, such a vector \(k\left( {\begin{array}{*{20}{c}}

4\\

{ – 5}\\

2

\end{array}} \right)\) is in the opposite direction as \(\left( {\begin{array}{*{20}{c}}

4\\

{ – 5}\\

2

\end{array}} \right)\) and with length 3 units.CorrectIncorrect