EduNinja

[Maximum number: 2]

F is the point (1,-4), $\overrightarrow{FG}=\binom{8}{-3}$ and $\overrightarrow{GH}=\binom{-12}{35}$ .
Find

the magnitude of vector $\overrightarrow{G H}$ .

37
M1 for $(-12)^2+35^2$ oe

[Maximum number: 3]

Point A has coordinates ( -4,1 ) and $\overrightarrow{B A}=\binom{-5}{-12}$ .

$\overrightarrow{E F}=3 \overrightarrow{B A}$

Find $|\overrightarrow{E F}|$ .

39
B2 for $|\overrightarrow{BA}|=13$
or M2 for $3\sqrt{([-]5)^2+([-]12)^2}$ oe
or M1 for $([-]5)^2+([-]12)^2$ oe or $([-]15)^2+([-]36)^2$ oe

[Maximum number: 3]

$\left|\begin{pmatrix}9m\\40m\end{pmatrix}\right|=\frac{205}{2}$
Find the two possible values of m.
$m=\qquad$ or $m=\qquad$

2.5 and -2.5 oe
M2 for $1681m^2=\frac{42025}{4}$ oe
or M1 for $(9m)^2+(40m)^2$ oe

CAIE IGCSE Mathematics Extended E7.3 Magnitude of a Vector Topic Practice