Write each of the following vectors in the form		a		.
		b

If a =		2		and b =		-1		, calculate the following:
		5				4

(a)  a + b =

(b)  4a – 5b =

(c)  |a| =

√

→ AF

= q,

→ AB

= p and M is the midpoint of CD.

(a)  Express

→ BM

in terms of p and q such that;

→ BM

= ap + bq

where a and b are constants.

a =  b =

(b)  Express

→ AD

in terms of p and q such that;

→ AD

= cp + dq

where c and d are constants.

c =  d =

(c)  What can you deduce about BM and AD from your answers above?  The lines are not parallelThe lines are parallel The lines are perpendicular

Marking your audit and producing your report

Once you are happy you have completed the audit, click the button below to mark your audit.
You will not be able to mark the audit again once you have clicked this button.

Mark your answers.

Now you can click the button below to produce your report. This button can be used more than once.

Produce your report.