With respect to the origin $$$O$$$, the position vectors of the points $$$A$$$ and $$$B$$$ are given by $$$\overrightarrow{O A}=\left(\begin{array}{r}1 \\ 2 \\ -1\end{array}\right)$$$ and $\overrightarrow{O B}=\left(\begin{array}{r}0 \\ 3 \\ 1\end{array}\right)$ Find a vector equation for the line $$$l$$$ through $$$A$$$ and $$$B$$$. ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................ ........................................................................................................................................................

Mathematics

IGCSE&ALevel

CAIE

Exam No：9709_w21_qp_32 Year：2021 Question No：10(a)

Answer:

Obtain direction vector $-\mathbf{i}+\mathbf{j}+2 \mathbf{k}$, or equivalent
Use a correct method to form a vector equation
State answer $\mathbf{r}=\mathbf{i}+2 \mathbf{j}-\mathbf{k}+\lambda(-\mathbf{i}+\mathbf{j}+2 \mathbf{k})$, or equivalent correct form

Knowledge points:

3.7.4 understand the significance of all the symbols used when the equation of a straight line is expressed in the form r = a +tb, and find the equation of a line, given sufficient information

Answer:

Knowledge points:

Solution:

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