1 Find in exact form the unit vector in the same direction as a = 4i – 7j. (3 marks)
2 In , and . P divides OA in the ratio 3 : 2 and Q divides
OB in the ratio 3 : 2
a Show that PQ is parallel to AB. (4 marks)
b Given that AB is 10 cm in length find the length of PQ. (1 mark)
Figure 1
3 Given that the resultant of the vectors a = 2pi – 5j and b = 6i – 3pj is parallel
to the vector c = 4i – 5j, find
a the value of p (4 marks)
b the resultant of the vectors a and b. (2 marks)
4 Given that point A has the position vector 4i + 7j and point B has the position
vector 10i + qj, where q is a constant, find
a the vector in terms of q (2 marks)
b Given further that , find the two possible values of q showing
detailed reasoning in your working. (5 marks)
Stuvia customers have reviewed more than 700,000 summaries. This how you know that you are buying the best documents.
Quick and easy check-out
You can quickly pay through credit card for the summaries. There is no membership needed.
Focus on what matters
Your fellow students write the study notes themselves, which is why the documents are always reliable and up-to-date. This ensures you quickly get to the core!
Frequently asked questions
What do I get when I buy this document?
You get a PDF, available immediately after your purchase. The purchased document is accessible anytime, anywhere and indefinitely through your profile.
Satisfaction guarantee: how does it work?
Our satisfaction guarantee ensures that you always find a study document that suits you well. You fill out a form, and our customer service team takes care of the rest.
Who am I buying these notes from?
Stuvia is a marketplace, so you are not buying this document from us, but from seller PredictedPapers. Stuvia facilitates payment to the seller.
Will I be stuck with a subscription?
No, you only buy these notes for £4.49. You're not tied to anything after your purchase.
