Mr Daniels Maths
Vectors

Set 1

Set 2

Set 3

Q1) If \( \boldsymbol e\) =\(\begin{pmatrix} 7 \\ 3 \end{pmatrix} \) ,\( \boldsymbol f\)= \(\begin{pmatrix} -3 \\ 3 \end{pmatrix} \).
What is \( \boldsymbol e\) +\( \boldsymbol f\)? [ =\(\begin{pmatrix} 4 \\ 6 \end{pmatrix} \)]

Q1) If \( \boldsymbol a\) =\(\begin{pmatrix} 5 \\ 9 \end{pmatrix} \) , \( \boldsymbol e\) = \(\begin{pmatrix} 10 \\ 4 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol e\)? [ = \(\begin{pmatrix} -5 \\ 5 \end{pmatrix} \)]

Q1) If \( \boldsymbol e\) =\(\begin{pmatrix} 1 \\ 4 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} 5 \\ -1 \end{pmatrix} \).
What is 5\( \boldsymbol e\) +3\( \boldsymbol f\)? [ = \(\begin{pmatrix} 20 \\ 17 \end{pmatrix} \)]

Q2) If \( \boldsymbol d\) =\(\begin{pmatrix} 1 \\ 6 \end{pmatrix} \) ,\( \boldsymbol e\)= \(\begin{pmatrix} 9 \\ 9 \end{pmatrix} \).
What is \( \boldsymbol d\) +\( \boldsymbol e\)? [ =\(\begin{pmatrix} 10 \\ 15 \end{pmatrix} \)]

Q2) If \( \boldsymbol a\) =\(\begin{pmatrix} 1 \\ 1 \end{pmatrix} \) , \( \boldsymbol b\) = \(\begin{pmatrix} -9 \\ 8 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol b\)? [ = \(\begin{pmatrix} 10 \\ -7 \end{pmatrix} \)]

Q2) If \( \boldsymbol e\) =\(\begin{pmatrix} 8 \\ 8 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} 8 \\ 1 \end{pmatrix} \).
What is 2\( \boldsymbol e\) +2\( \boldsymbol f\)? [ = \(\begin{pmatrix} 32 \\ 18 \end{pmatrix} \)]

Q3) If \( \boldsymbol e\) =\(\begin{pmatrix} 3 \\ 7 \end{pmatrix} \) ,\( \boldsymbol f\)= \(\begin{pmatrix} 4 \\ -1 \end{pmatrix} \).
What is \( \boldsymbol e\) +\( \boldsymbol f\)? [ =\(\begin{pmatrix} 7 \\ 6 \end{pmatrix} \)]

Q3) If \( \boldsymbol b\) =\(\begin{pmatrix} 8 \\ 1 \end{pmatrix} \) , \( \boldsymbol e\) = \(\begin{pmatrix} -2 \\ -10 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol e\)? [ = \(\begin{pmatrix} 10 \\ 11 \end{pmatrix} \)]

Q3) If \( \boldsymbol e\) =\(\begin{pmatrix} 5 \\ 8 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} 4 \\ 10 \end{pmatrix} \).
What is 4\( \boldsymbol e\) -4\( \boldsymbol f\)? [ = \(\begin{pmatrix} 4 \\ -8 \end{pmatrix} \)]

Q4) If \( \boldsymbol d\) =\(\begin{pmatrix} 2 \\ 2 \end{pmatrix} \) ,\( \boldsymbol e\)= \(\begin{pmatrix} -8 \\ -2 \end{pmatrix} \).
What is \( \boldsymbol d\) +\( \boldsymbol e\)? [ =\(\begin{pmatrix} -6 \\ 0 \end{pmatrix} \)]

Q4) If \( \boldsymbol c\) =\(\begin{pmatrix} 10 \\ 1 \end{pmatrix} \) , \( \boldsymbol d\) = \(\begin{pmatrix} 4 \\ -3 \end{pmatrix} \).
What is \( \boldsymbol c\) - \( \boldsymbol d\)? [ = \(\begin{pmatrix} 6 \\ 4 \end{pmatrix} \)]

Q4) If \( \boldsymbol b\) =\(\begin{pmatrix} 2 \\ 5 \end{pmatrix} \) , \( \boldsymbol c\)= \(\begin{pmatrix} -4 \\ -8 \end{pmatrix} \).
What is 2\( \boldsymbol b\) -4\( \boldsymbol c\)? [ = \(\begin{pmatrix} 20 \\ 42 \end{pmatrix} \)]

Q5) If \( \boldsymbol e\) =\(\begin{pmatrix} 3 \\ 4 \end{pmatrix} \) ,\( \boldsymbol f\)= \(\begin{pmatrix} -9 \\ 1 \end{pmatrix} \).
What is \( \boldsymbol e\) +\( \boldsymbol f\)? [ =\(\begin{pmatrix} -6 \\ 5 \end{pmatrix} \)]

Q5) If \( \boldsymbol a\) =\(\begin{pmatrix} 9 \\ 4 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} -7 \\ 7 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol c\)? [ = \(\begin{pmatrix} 16 \\ -3 \end{pmatrix} \)]

Q5) If \( \boldsymbol e\) =\(\begin{pmatrix} 8 \\ 3 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} 10 \\ 2 \end{pmatrix} \).
What is 5\( \boldsymbol e\) +4\( \boldsymbol f\)? [ = \(\begin{pmatrix} 80 \\ 23 \end{pmatrix} \)]

Q6) If \( \boldsymbol b\) =\(\begin{pmatrix} 7 \\ 8 \end{pmatrix} \) ,\( \boldsymbol c\)= \(\begin{pmatrix} -1 \\ 4 \end{pmatrix} \).
What is \( \boldsymbol b\) +\( \boldsymbol c\)? [ =\(\begin{pmatrix} 6 \\ 12 \end{pmatrix} \)]

Q6) If \( \boldsymbol a\) =\(\begin{pmatrix} 8 \\ 8 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} -7 \\ -5 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol c\)? [ = \(\begin{pmatrix} 15 \\ 13 \end{pmatrix} \)]

Q6) If \( \boldsymbol e\) =\(\begin{pmatrix} 10 \\ 8 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} -1 \\ -9 \end{pmatrix} \).
What is 5\( \boldsymbol e\) -5\( \boldsymbol f\)? [ = \(\begin{pmatrix} 55 \\ 85 \end{pmatrix} \)]

Q7) If \( \boldsymbol a\) =\(\begin{pmatrix} 8 \\ 3 \end{pmatrix} \) ,\( \boldsymbol b\)= \(\begin{pmatrix} 9 \\ 10 \end{pmatrix} \).
What is \( \boldsymbol a\) +\( \boldsymbol b\)? [ =\(\begin{pmatrix} 17 \\ 13 \end{pmatrix} \)]

Q7) If \( \boldsymbol b\) =\(\begin{pmatrix} 9 \\ 8 \end{pmatrix} \) , \( \boldsymbol d\) = \(\begin{pmatrix} 8 \\ -3 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol d\)? [ = \(\begin{pmatrix} 1 \\ 11 \end{pmatrix} \)]

Q7) If \( \boldsymbol c\) =\(\begin{pmatrix} 4 \\ 8 \end{pmatrix} \) , \( \boldsymbol d\)= \(\begin{pmatrix} -2 \\ 2 \end{pmatrix} \).
What is 2\( \boldsymbol c\) -3\( \boldsymbol d\)? [ = \(\begin{pmatrix} 14 \\ 10 \end{pmatrix} \)]

Q8) If \( \boldsymbol a\) =\(\begin{pmatrix} 10 \\ 4 \end{pmatrix} \) ,\( \boldsymbol b\)= \(\begin{pmatrix} 10 \\ 8 \end{pmatrix} \).
What is \( \boldsymbol a\) +\( \boldsymbol b\)? [ =\(\begin{pmatrix} 20 \\ 12 \end{pmatrix} \)]

Q8) If \( \boldsymbol b\) =\(\begin{pmatrix} 6 \\ 3 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} 1 \\ 3 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol c\)? [ = \(\begin{pmatrix} 5 \\ 0 \end{pmatrix} \)]

Q8) If \( \boldsymbol a\) =\(\begin{pmatrix} 4 \\ 9 \end{pmatrix} \) , \( \boldsymbol b\)= \(\begin{pmatrix} 10 \\ 1 \end{pmatrix} \).
What is 5\( \boldsymbol a\) -2\( \boldsymbol b\)? [ = \(\begin{pmatrix} 0 \\ 43 \end{pmatrix} \)]

Q9) If \( \boldsymbol a\) =\(\begin{pmatrix} 6 \\ 5 \end{pmatrix} \) ,\( \boldsymbol b\)= \(\begin{pmatrix} -2 \\ 7 \end{pmatrix} \).
What is \( \boldsymbol a\) +\( \boldsymbol b\)? [ =\(\begin{pmatrix} 4 \\ 12 \end{pmatrix} \)]

Q9) If \( \boldsymbol c\) =\(\begin{pmatrix} 2 \\ 2 \end{pmatrix} \) , \( \boldsymbol d\) = \(\begin{pmatrix} 1 \\ -7 \end{pmatrix} \).
What is \( \boldsymbol c\) - \( \boldsymbol d\)? [ = \(\begin{pmatrix} 1 \\ 9 \end{pmatrix} \)]

Q9) If \( \boldsymbol a\) =\(\begin{pmatrix} 9 \\ 10 \end{pmatrix} \) , \( \boldsymbol b\)= \(\begin{pmatrix} -4 \\ 4 \end{pmatrix} \).
What is 4\( \boldsymbol a\) +4\( \boldsymbol b\)? [ = \(\begin{pmatrix} 20 \\ 56 \end{pmatrix} \)]

Q10) If \( \boldsymbol b\) =\(\begin{pmatrix} 2 \\ 10 \end{pmatrix} \) ,\( \boldsymbol c\)= \(\begin{pmatrix} -6 \\ 7 \end{pmatrix} \).
What is \( \boldsymbol b\) +\( \boldsymbol c\)? [ =\(\begin{pmatrix} -4 \\ 17 \end{pmatrix} \)]

Q10) If \( \boldsymbol b\) =\(\begin{pmatrix} 6 \\ 9 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} 1 \\ 5 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol c\)? [ = \(\begin{pmatrix} 5 \\ 4 \end{pmatrix} \)]

Q10) If \( \boldsymbol c\) =\(\begin{pmatrix} 2 \\ 10 \end{pmatrix} \) , \( \boldsymbol d\)= \(\begin{pmatrix} 2 \\ -6 \end{pmatrix} \).
What is 4\( \boldsymbol c\) +3\( \boldsymbol d\)? [ = \(\begin{pmatrix} 14 \\ 22 \end{pmatrix} \)]