CAIE IGCSE Mathematics Extended E7.3 Magnit…ector

Covered syllabus points

E7.3.1 Calculate the magnitude of a vector x y J L KK N P OO as xy22+

[Maximum number: 2]

$\mathbf u=\begin{pmatrix}3\\-2\end{pmatrix}\qquad \mathbf v=\begin{pmatrix}-12\\5\end{pmatrix}$

Find $|\mathbf{v}|$ .

13

M1 for $(-12)^2+5^2$ oe soi by 169.

[Maximum number: 3]

The position vector of A is $\binom53$ and $\overrightarrow{BA}=\binom48$ .
Show that $|\overrightarrow{OB}|=5.1$ , correct to 1 decimal place.

$\sqrt{1^2+(-5)^2}$
M1 for $\binom1{-5}$ , or $(5-4)^2+(3-8)^2$ , or $\sqrt{e^2+f^2}$ from their $\overrightarrow{OB}=\binom ef$ , or their B=(e,f), or only $\sqrt{1+25}$

Correct working leading to 5.09...
Dep. on M2 or M1 for only $\sqrt{1+25}$

[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

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

Covered syllabus points

Question 1

Question 2

Question 3