#5.1A
understand that a vector has both magnitude and direction
#5.1B
understand and use vector notation including column vectors
The notations \(\overrightarrow{OA}\) and \(\bold{a}\) will be used
#5.1C
multiply vectors by scalar quantities
#5.1D
add and subtract vectors
#5.1E
calculate the modulus (magnitude) of a vector
Find the magnitude of \(\begin{pmatrix} 5 \\ -3 \end{pmatrix}\)
#5.1F
find the resultant of two or more vectors
\(\overrightarrow{OA} = 3\bold{a}, \overrightarrow{AB} = 2\bold{b}, \overrightarrow{BC} = \bold{c}\)
so:
\(\overrightarrow{OC} = 3\bold{a} + 2\bold{b} + \bold{c} \)
\(\overrightarrow{CA} = - \bold{c} - 2\bold{b} \)
#5.1G
apply vector methods for simple geometrical proofs