Timothy Gan

Home 2022 ACJC J2 MYE Q4 (a) Vectors $mathbf{u}$, $mathbf{v}$ and $mathbf{w}$ are such that $mathbf{w}ne mathbf{0}$ and $4mathbf{w}times mathbf{v}=3mathbf{u}times mathbf{w}$. (i) Show that $mathbf{w}=lambda left( 3mathbf{u}+4mathbf{v} right)$, where $lambda

Home 2022 HCI J2 BT Q2 Relative to the origin $O$, two points $A$ and $B$ have position vectors $mathbf{a}$ and $mathbf{b}$ respectively.It is given that $mathbf{c}$ and $mathbf{d}$ are

Home 2022 EJC J2 MYE P1 Q2 Vectors $mathbf{a}$,$mathbf{b}$ and $mathbf{c}$ are such that $mathbf{a}ne mathbf{0}$, $2mathbf{b}ne 3mathbf{c}$, and $2mathbf{a}mathbf{.b}=3mathbf{a}mathbf{.c}$. (a) Show that $mathbf{a}$ is perpendicular to $2mathbf{b}-3mathbf{c}$. [2] (b)

Home 2022 NYJC J1 CT Q8 A group of campers built a tent in the shape of tetrahedron $OABC$ where points $left( x,y,z right)$ are defined relative to the origin

Home 2020 CJC Promo Q11 A hanging ornament is constructed by connecting six metal rods to form a tetrahedron $VABC$ as shown in the diagram. The points $left( x,y,z right)$

Home 2022 TMJC J1 MYE Q8 Relative to the origin $O$, the position vectors of the points $A$, $B$ and $C$ are $4mathbf{i}+mathbf{j}+3mathbf{k}$, $-6mathbf{i}+3mathbf{j}-7mathbf{k}$ and $-2mathbf{i}+7mathbf{j}-6mathbf{k}$ respectively. The plane $p$

Home 2022 JPJC J1 MYE Q8 The plane $p$ passes through the points $Aleft( 1,2,1 right)$ and $Bleft( 0,3,1 right)$ is parallel to the vector $mathbf{i}+3mathbf{j}+3mathbf{k}$. The line $l$ has