Mr Daniels Maths
Vectors

Easy

Medium

Difficult

Q1) If \( \boldsymbol d\) =\(\begin{pmatrix} 4 \\ 8 \end{pmatrix} \) ,\( \boldsymbol e\)= \(\begin{pmatrix} 6 \\ -6 \end{pmatrix} \).
What is \( \boldsymbol d\) +\( \boldsymbol e\)?
=\(\begin{pmatrix} 10 \\ 2 \end{pmatrix} \)
Q1) If \( \boldsymbol b\) =\(\begin{pmatrix} 3 \\ 6 \end{pmatrix} \) , \( \boldsymbol e\) = \(\begin{pmatrix} -1 \\ -10 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol e\)?
= \(\begin{pmatrix} 4 \\ 16 \end{pmatrix} \)
Q1) If \( \boldsymbol b\) =\(\begin{pmatrix} 3 \\ 6 \end{pmatrix} \) , \( \boldsymbol c\)= \(\begin{pmatrix} -2 \\ 10 \end{pmatrix} \).
What is 4\( \boldsymbol b\) +2\( \boldsymbol c\)?
= \(\begin{pmatrix} 8 \\ 44 \end{pmatrix} \)
Q2) If \( \boldsymbol d\) =\(\begin{pmatrix} 3 \\ 1 \end{pmatrix} \) ,\( \boldsymbol e\)= \(\begin{pmatrix} -2 \\ 1 \end{pmatrix} \).
What is \( \boldsymbol d\) +\( \boldsymbol e\)?
=\(\begin{pmatrix} 1 \\ 2 \end{pmatrix} \)
Q2) If \( \boldsymbol a\) =\(\begin{pmatrix} 7 \\ 10 \end{pmatrix} \) , \( \boldsymbol b\) = \(\begin{pmatrix} -5 \\ 5 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol b\)?
= \(\begin{pmatrix} 12 \\ 5 \end{pmatrix} \)
Q2) If \( \boldsymbol c\) =\(\begin{pmatrix} 7 \\ 2 \end{pmatrix} \) , \( \boldsymbol d\)= \(\begin{pmatrix} 1 \\ 4 \end{pmatrix} \).
What is 5\( \boldsymbol c\) +4\( \boldsymbol d\)?
= \(\begin{pmatrix} 39 \\ 26 \end{pmatrix} \)
Q3) If \( \boldsymbol a\) =\(\begin{pmatrix} 10 \\ 10 \end{pmatrix} \) ,\( \boldsymbol b\)= \(\begin{pmatrix} -7 \\ -1 \end{pmatrix} \).
What is \( \boldsymbol a\) +\( \boldsymbol b\)?
=\(\begin{pmatrix} 3 \\ 9 \end{pmatrix} \)
Q3) If \( \boldsymbol a\) =\(\begin{pmatrix} 3 \\ 5 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} 8 \\ -10 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol c\)?
= \(\begin{pmatrix} -5 \\ 15 \end{pmatrix} \)
Q3) If \( \boldsymbol e\) =\(\begin{pmatrix} 4 \\ 5 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} -4 \\ -5 \end{pmatrix} \).
What is 3\( \boldsymbol e\) +3\( \boldsymbol f\)?
= \(\begin{pmatrix} 0 \\ 0 \end{pmatrix} \)
Q4) If \( \boldsymbol b\) =\(\begin{pmatrix} 5 \\ 3 \end{pmatrix} \) ,\( \boldsymbol c\)= \(\begin{pmatrix} 8 \\ 4 \end{pmatrix} \).
What is \( \boldsymbol b\) +\( \boldsymbol c\)?
=\(\begin{pmatrix} 13 \\ 7 \end{pmatrix} \)
Q4) If \( \boldsymbol b\) =\(\begin{pmatrix} 2 \\ 10 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} 9 \\ -1 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol c\)?
= \(\begin{pmatrix} -7 \\ 11 \end{pmatrix} \)
Q4) If \( \boldsymbol e\) =\(\begin{pmatrix} 6 \\ 2 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} 5 \\ 1 \end{pmatrix} \).
What is 4\( \boldsymbol e\) +2\( \boldsymbol f\)?
= \(\begin{pmatrix} 34 \\ 10 \end{pmatrix} \)
Q5) If \( \boldsymbol a\) =\(\begin{pmatrix} 7 \\ 2 \end{pmatrix} \) ,\( \boldsymbol b\)= \(\begin{pmatrix} -3 \\ 4 \end{pmatrix} \).
What is \( \boldsymbol a\) +\( \boldsymbol b\)?
=\(\begin{pmatrix} 4 \\ 6 \end{pmatrix} \)
Q5) If \( \boldsymbol c\) =\(\begin{pmatrix} 5 \\ 6 \end{pmatrix} \) , \( \boldsymbol d\) = \(\begin{pmatrix} -3 \\ 9 \end{pmatrix} \).
What is \( \boldsymbol c\) - \( \boldsymbol d\)?
= \(\begin{pmatrix} 8 \\ -3 \end{pmatrix} \)
Q5) If \( \boldsymbol d\) =\(\begin{pmatrix} 2 \\ 5 \end{pmatrix} \) , \( \boldsymbol e\)= \(\begin{pmatrix} -5 \\ 9 \end{pmatrix} \).
What is 5\( \boldsymbol d\) -3\( \boldsymbol e\)?
= \(\begin{pmatrix} 25 \\ -2 \end{pmatrix} \)
Q6) If \( \boldsymbol a\) =\(\begin{pmatrix} 9 \\ 7 \end{pmatrix} \) ,\( \boldsymbol b\)= \(\begin{pmatrix} 8 \\ -6 \end{pmatrix} \).
What is \( \boldsymbol a\) +\( \boldsymbol b\)?
=\(\begin{pmatrix} 17 \\ 1 \end{pmatrix} \)
Q6) If \( \boldsymbol b\) =\(\begin{pmatrix} 5 \\ 3 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} 2 \\ -10 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol c\)?
= \(\begin{pmatrix} 3 \\ 13 \end{pmatrix} \)
Q6) If \( \boldsymbol a\) =\(\begin{pmatrix} 7 \\ 6 \end{pmatrix} \) , \( \boldsymbol b\)= \(\begin{pmatrix} -9 \\ 4 \end{pmatrix} \).
What is 3\( \boldsymbol a\) +3\( \boldsymbol b\)?
= \(\begin{pmatrix} -6 \\ 30 \end{pmatrix} \)
Q7) If \( \boldsymbol b\) =\(\begin{pmatrix} 9 \\ 2 \end{pmatrix} \) ,\( \boldsymbol c\)= \(\begin{pmatrix} -8 \\ -2 \end{pmatrix} \).
What is \( \boldsymbol b\) +\( \boldsymbol c\)?
=\(\begin{pmatrix} 1 \\ 0 \end{pmatrix} \)
Q7) If \( \boldsymbol a\) =\(\begin{pmatrix} 9 \\ 1 \end{pmatrix} \) , \( \boldsymbol e\) = \(\begin{pmatrix} 8 \\ -10 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol e\)?
= \(\begin{pmatrix} 1 \\ 11 \end{pmatrix} \)
Q7) If \( \boldsymbol b\) =\(\begin{pmatrix} 5 \\ 6 \end{pmatrix} \) , \( \boldsymbol c\)= \(\begin{pmatrix} 5 \\ 1 \end{pmatrix} \).
What is 4\( \boldsymbol b\) +4\( \boldsymbol c\)?
= \(\begin{pmatrix} 40 \\ 28 \end{pmatrix} \)
Q8) If \( \boldsymbol c\) =\(\begin{pmatrix} 6 \\ 7 \end{pmatrix} \) ,\( \boldsymbol d\)= \(\begin{pmatrix} -1 \\ -3 \end{pmatrix} \).
What is \( \boldsymbol c\) +\( \boldsymbol d\)?
=\(\begin{pmatrix} 5 \\ 4 \end{pmatrix} \)
Q8) If \( \boldsymbol a\) =\(\begin{pmatrix} 9 \\ 3 \end{pmatrix} \) , \( \boldsymbol b\) = \(\begin{pmatrix} -9 \\ 5 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol b\)?
= \(\begin{pmatrix} 18 \\ -2 \end{pmatrix} \)
Q8) If \( \boldsymbol e\) =\(\begin{pmatrix} 7 \\ 9 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} 9 \\ 2 \end{pmatrix} \).
What is 2\( \boldsymbol e\) -2\( \boldsymbol f\)?
= \(\begin{pmatrix} -4 \\ 14 \end{pmatrix} \)
Q9) If \( \boldsymbol d\) =\(\begin{pmatrix} 6 \\ 6 \end{pmatrix} \) ,\( \boldsymbol e\)= \(\begin{pmatrix} 7 \\ 9 \end{pmatrix} \).
What is \( \boldsymbol d\) +\( \boldsymbol e\)?
=\(\begin{pmatrix} 13 \\ 15 \end{pmatrix} \)
Q9) If \( \boldsymbol b\) =\(\begin{pmatrix} 5 \\ 3 \end{pmatrix} \) , \( \boldsymbol c\) = \(\begin{pmatrix} 1 \\ -8 \end{pmatrix} \).
What is \( \boldsymbol b\) - \( \boldsymbol c\)?
= \(\begin{pmatrix} 4 \\ 11 \end{pmatrix} \)
Q9) If \( \boldsymbol e\) =\(\begin{pmatrix} 9 \\ 8 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} -8 \\ -7 \end{pmatrix} \).
What is 3\( \boldsymbol e\) +4\( \boldsymbol f\)?
= \(\begin{pmatrix} -5 \\ -4 \end{pmatrix} \)
Q10) If \( \boldsymbol d\) =\(\begin{pmatrix} 5 \\ 7 \end{pmatrix} \) ,\( \boldsymbol e\)= \(\begin{pmatrix} -7 \\ 4 \end{pmatrix} \).
What is \( \boldsymbol d\) +\( \boldsymbol e\)?
=\(\begin{pmatrix} -2 \\ 11 \end{pmatrix} \)
Q10) If \( \boldsymbol a\) =\(\begin{pmatrix} 9 \\ 1 \end{pmatrix} \) , \( \boldsymbol b\) = \(\begin{pmatrix} 3 \\ -1 \end{pmatrix} \).
What is \( \boldsymbol a\) - \( \boldsymbol b\)?
= \(\begin{pmatrix} 6 \\ 2 \end{pmatrix} \)
Q10) If \( \boldsymbol e\) =\(\begin{pmatrix} 2 \\ 7 \end{pmatrix} \) , \( \boldsymbol f\)= \(\begin{pmatrix} -1 \\ 10 \end{pmatrix} \).
What is 3\( \boldsymbol e\) -2\( \boldsymbol f\)?
= \(\begin{pmatrix} 8 \\ 1 \end{pmatrix} \)