Question 1

If $\vec{a}=6i+2j$ and $\vec{b}=-2i+4j$ find $\vec{a}+\vec{b}$

Accepted Answer

$4i+6j$

Answer

$6i+6j$

Answer

$6i+4j$

Answer

$4i-6j$

Question 2

If $\vec{a}=3i-2j$ and $\vec{b}=-2i+7j$ find $\vec{a}-\vec{b}$

Accepted Answer

$5i-9j$

Answer

$9i+5j$

Answer

$5i+9j$

Answer

$9i-5j$

Question 3

If $\vec{a}=2i-3j$ find $3\vec{a}$

Accepted Answer

$6i-9j$

Answer

$6i+9j$

Answer

$9i-6j$

Answer

$9i+6j$

Question 4

If $\vec{a}=2i-3j$ find $\frac{1}{2}\vec{a}$

Accepted Answer

$i-\frac{3}{2}j$

Answer

$\frac{3}{2}i-j$

Answer

$i+\frac{3}{2}j$

Answer

$2i-\frac{3}{2}j$

Question 5

If $\vec{a}=2i+5j$ find the magnitude $|a|$

Accepted Answer

$|a|=\sqrt{29}$

Answer

$|a|=\sqrt{24}$

Answer

$|a|=\sqrt{39}$

Answer

$|a|=\sqrt{19}$

Question 6

If $\vec{a}=2i+5j$ find the angle $	heta$ that the vector makes with the x-axis

Accepted Answer

$68.2^{0}$

Answer

$62.2^{0}$

Answer

$65.2^{0}$

Answer

$58.2^{0}$

Question 7

A vector has magnitude $|r|=7$ and the angle it makes with the x-axis is $55^{0}$. Which of the following is correct?

Accepted Answer

$\vec{r}=4.01i+5.73j$

Answer

$\vec{r}=3.01i+4.73j$

Answer

$\vec{r}=4.01i+3.73j$

Answer

$\vec{r}=5.01i+5.73j$

Question 8

A vector has magnitude $|r|=8$ and is on a bearing of $210^{0}$. Which of the following is correct?

Accepted Answer

$\vec{r}=-4i-6.93j$

Answer

$\vec{r}=-5.93i+4j$

Answer

$\vec{r}=-3.93i-6j$

Answer

$\vec{r}=5.93i+7j$

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