Content
Access custom-built, exam-style problems for vectors. Each problem has a full solution and mark-scheme, as well as AI grading and support.
Select a Difficulty:
5 / 22 problems visible - Upgrade to view all problems
0 / 8
The vector u=⎝⎛7−23⎠⎞ is perpendicular to the vector v=⎝⎛p4−2⎠⎞
Find the value of p.
Now consider the vector w=v−u.
Find the acute angle, in degrees, between v and w.
0 / 9
The parallelogram OACB is shown in the diagram below.
Powered by Desmos
Let OA⃗=a, and OB⃗=b. The points P and Q lie along the diagonal [OC] so as to divide into three segments of equal length.
Find each of the following in terms of a and b.
AB⃗
PQ⃗
BP⃗
It is now given that ∣a∣=3, ∣b∣=6, and a⋅b=9.
Find the exact value of cosBP^A.
!
0 / 7
0 / 10
0 / 8
Ask Plex AI about problem 11
Get hints, ask questions, and work through this problem step by step