Skip to content
Home
Path
Worksheets
Skill map
Leaderboard
Sign in
Save your progress
Search topics
Ctrl K
Sign in
Save your progress
Search
Skill map
Specialist Mathematics
Plane vectors
Chapter 8
0 of 10 strong
Weak only
Not started
RESTS ON
Equivalent fractions
FOUNDATIONS
Use sin²(x)+cos²(x)=1 and tan(x)=sin(x)/cos(x) to replace, simplify or verify an expression on its valid domain
FOUNDATIONS
Construct direct, contrapositive and contradiction arguments with justified steps
CH 1
Vector representations and arithmetic
Dot products and projection
Vector reasoning and physical models
Represent directed plane vectors and solve component linear combinations
Calculate exact plane-vector magnitudes directions and unit vectors with nonzero conditions
Justify vector arithmetic geometrically and assess displacement models; ungraded
Use scalar products for included angles and nonzero-vector relation tests
Calculate signed scalar and vector projections and perpendicular decompositions
Derive the angle formula and prove projection and closest-point properties; ungraded
Calculate weighted points as substeps of geometric vector arguments
Calculate relative velocity future coincidence and closest approach under constant motion
Calculate feasible particle equilibrium and constant net-force motion
Prove geometric vector results and construct and validate physical models; ungraded