2023 NJC Promo Q5 (b) Two non-zero vectors $mathbf{a}$ and $mathbf{b}$ are such that $left| mathbf{a}times mathbf{b} right|=sqrt{3}$, $left| mathbf{a}-mathbf{b} right|=1$ and the angle between the vectors $mathbf{a}$ and $mathbf{b}$
2022 ACJC Promo Q10 The plane ${{P}_{1}}$ has the equation $-6x-4y+2z=4$. (i) Find the vector equations of the planes such that the perpendicular distance from each plane to ${{P}_{1}}$ is
These Ten-Year-Series (TYS) worked solutions with video explanations for 2016 A Level H2 Mathematics Paper 1 Question 11 are suggested by Mr Gan. For any comments or suggestions please contact
These Ten-Year-Series (TYS) worked solutions with video explanations for 2022 A Level H2 Mathematics Paper 1 Question 11 are suggested by Mr Gan. For any comments or suggestions please contact
Show the formula of projection vector of a onto b Show that the projection vector of $mathbf{a}$ onto $mathbf{b}$ is given by $left( mathbf{a}cdot mathbf{hat{b}} right)mathbf{hat{b}}$. Suggested Video Solutions Suggested Handwritten
These Ten-Year-Series (TYS) worked solutions with video explanations for 1987 A Level H2 Mathematics Paper 2 Question 18 [Modified] are suggested by Mr Gan. For any comments or suggestions please
2017 AJC Promo Q8 In order to construct a temporary shelter, three vertical poles $OP$, $AQ$ and $BR$ of heights $6$m, $8$m and $10$m respectively are planted firmly their bases
2021 ASRJC Promo Q12 Relative to the origin $O$, a point $A$ has position vector $-mathbf{j}+2mathbf{k}$. The plane ${{p}_{1}}$ has equation $mathbf{r}cdot left( begin{matrix}1 \-1 \0 \end{matrix} right)=3$. (i) Find
2021 ACJC Promo Q10 Referred to the origin $O$, the points $A$, $B$ and $C$ have position vectors $4mathbf{i}-2mathbf{j}$, $alpha mathbf{i}-mathbf{j}+2mathbf{k}$ and $-mathbf{i}-7mathbf{j}+beta mathbf{k}$ respectively, where $alpha $ and $beta
2021 JPJC Promo Q9 A plane ${{prod }_{1}}$ has equation $x+y+z=3$. A line passes through the points $P$ and $Q$ with position vectors $mathbf{i}+mathbf{j}+2mathbf{k}$ and $4mathbf{i}+2mathbf{j}-mathbf{k}$ respectively. (i) Find the