Fluency in arithmetic procedures with algebraic vector notation | Maths | Quizalize & Oak National Academy

Starter quiz

A __________ vector is the single vector that produces the same effect as a combination of other vectors.

end

final

overall

resultant ✓
$Which of these vectors can be represented as <Math>{-2 \choose -2}</Math> in column form?$

Which of these vectors can be represented as ${-2 \choose -2}$ in column form?

a

b ✓

c

d

e
$Which of these vectors can be represented as <Math>{2\choose 3}</Math> in column form?$

Which of these vectors can be represented as ${2\choose 3}$ in column form?

$\overrightarrow{AB}$

$\overrightarrow{BD}$

$\overrightarrow{BC}$ ✓

$\overrightarrow{EB}$
Which of the following is equivalent to the resultant vector ${16 \choose -13}$ ?

$2{5 \choose -2} + 3{2 \choose 4}$

$2{4 \choose -7} + 5{-2 \choose 4}$

$3{4 \choose -7} + 2{2 \choose 4}$ ✓

$2{5 \choose -5} + 3{2 \choose -2}$
You are given that $\overrightarrow{OB}= \mathbf{a}$ and $\overrightarrow{OA}=\mathbf{b}$ . Which of the following is the vector $\overrightarrow{AB}$ ?

$\mathbf{a}+\mathbf{b}$

$\mathbf{a}-\mathbf{b}$

$\mathbf{b}-\mathbf{a}$ ✓

$\mathbf{b}+\mathbf{a}$
$Which vector can be written in the form <Math>3\mathbf{a} -\mathbf{b} + 3\mathbf{d}</Math>?$

Which vector can be written in the form $3\mathbf{a} -\mathbf{b} + 3\mathbf{d}$ ?

$\overrightarrow{OA}$

$\overrightarrow{OD}$

$\overrightarrow{BD}$

$\overrightarrow{CE}$

$\overrightarrow{OC}$ ✓

Exit quiz

$Vector <Math>\overrightarrow{AB}</Math> is equivalent to __________.$

Vector $\overrightarrow{AB}$ is equivalent to __________.

$2\overrightarrow{IJ}$

$\frac{1}{2}\overrightarrow{NM}$

$\frac{1}{2}\overrightarrow{CD}$ ✓

$\frac{1}{2}\overrightarrow{GH}$
Vector $\overrightarrow{OA} = 20\mathbf{a} + 18\mathbf{b}$ . $Y$ is the midpoint of $\overrightarrow{OA}$ . Find the vector $\overrightarrow{OY}$ in terms of $\mathbf{a}$ and $\mathbf{b}$

$\overrightarrow{OY} = 10\mathbf{a} + 9\mathbf{b}$ ✓

$\overrightarrow{OY} = 40\mathbf{a} + 36\mathbf{b}$

$\overrightarrow{OY} = 5\mathbf{a} + 9\mathbf{b}$

$\overrightarrow{OY} = 20\mathbf{a} + 9\mathbf{b}$
Vector $\overrightarrow{OA} = 20\mathbf{a} + 18\mathbf{b}$ . $A$ is the midpoint of $\overrightarrow{OB}$ . Find the vector $\overrightarrow{OB}$ in terms of $\mathbf{a}$ and $\mathbf{b}$

$\overrightarrow{OB} = 10\mathbf{a} + 9\mathbf{b}$

$\overrightarrow{OB} = 40\mathbf{a} + 36\mathbf{b}$ ✓

$\overrightarrow{OB} = 5\mathbf{a} + 9\mathbf{b}$

$\overrightarrow{OB} = 20\mathbf{a} + 9\mathbf{b}$
$<Math>X</Math> is the midpoint of the vector <Math>\overrightarrow{BD}</Math>. Which of the following statements are true?$

$X$ is the midpoint of the vector $\overrightarrow{BD}$ . Which of the following statements are true?

$\frac{1}{2}\overrightarrow{BD}=\overrightarrow{BX}$ ✓

$2\overrightarrow{BD}=\overrightarrow{BX}$

$\frac{1}{2}\overrightarrow{BD}=0.5\bigg({2\choose3}+{6\choose-1}\bigg)$ ✓

$\frac{1}{2}\overrightarrow{BD}= 2\bigg({2 \choose 3}+{6 \choose -1}\bigg)$
$<Math>X</Math> is the midpoint of the vector <Math>\overrightarrow{PQ}</Math>. Which of the following is vector <Math>\overrightarrow{PX}</Math>?$

$X$ is the midpoint of the vector $\overrightarrow{PQ}$ . Which of the following is vector $\overrightarrow{PX}$ ?

$\overrightarrow{PX}= 14\mathbf{a}-16\mathbf{b}$

$\overrightarrow{PX}= 7\mathbf{a}-8\mathbf{b}$

$\overrightarrow{PX}= 7\mathbf{a}+8\mathbf{b}$

$\overrightarrow{PX}= 3.5\mathbf{a}-4\mathbf{b}$ ✓
$The point <Math>X</Math> is the midpoint of the vector <Math>\overrightarrow{OB}</Math>. Identify <Math>\overrightarrow{OX}</Math>.$

The point $X$ is the midpoint of the vector $\overrightarrow{OB}$ . Identify $\overrightarrow{OX}$ .

$\overrightarrow{OX}= 1.5\mathbf{a}+0.5\mathbf{b}$

$\overrightarrow{OX}= 3\mathbf{a}-\mathbf{b}$

$\overrightarrow{OX}= 1.5\mathbf{a}-0.5\mathbf{b}$ ✓

$\overrightarrow{OX}= 2.5\mathbf{a}-\mathbf{b}$

$\overrightarrow{OX}= 2.5\mathbf{a}+\mathbf{b}$

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