( O D → = ) 2 a + 4 b − a + 1 4 ( "b − 4 a " ) oe ( = 17 4 b oe ) or ( O D → = ) 5 b − 3 a − 3 4 ( "b − 4 a " ) oe \begin{aligned}
(\overrightarrow{O D}=) 2 \mathbf{a}+4 \mathbf{b}-\mathbf{a}+\frac{1}{4}(\text { "b }-4 \mathbf{a} \text { " }) \text { oe }\left(=\frac{17}{4} \mathbf{b} \text { oe }\right) \text { or }
(\overrightarrow{O D}=) 5 \mathbf{b}-3 \mathbf{a}-\frac{3}{4}(\text { "b }-4 \mathbf{a} \text { " }) \text { oe }
\end{aligned} ( O D = ) 2 a + 4 b − a + 4 1 ( "b − 4 a " ) oe ( = 4 17 b oe ) or ( O D = ) 5 b − 3 a − 4 3 ( "b − 4 a " ) oe B C → \overrightarrow{B C} B C eg O P → = 2 a + 4 b − a + x ( 4 b − a ) or O P → = 2 a + y ( 4 b − a ) or O P → = 5 b − 3 a − ( "b − 4 a " ) + λ ( 4 b − a ) or O P → = 5 b − 3 a − 3 4 ( "b − 4 a ′ ′ ) + n ( " 17 4 b ′ ′ ) or O P → = " 17 4 b ′ ′ + n × 17 4 b ′ ′ or O P → = n × ′ ′ 17 4 b ′ ′ oe or A P → = x ( 4 b − a ) or A P → = − 2 a + n × " 17 4 b ′ ′ oe or B P → = y ( 4 b − a ) or B P → = 1 4 ( " b − 4 a ′ ′ ) + n × " 17 4 b ′ ′ oe \begin{aligned}
\operatorname{eg} \overrightarrow{O P}=2 \mathbf{a}+4 \mathbf{b}-\mathbf{a}+x(4 \mathbf{b}-\mathbf{a}) \text { or }
\overrightarrow{O P}=2 \mathbf{a}+y(4 \mathbf{b}-\mathbf{a}) \text { or }
\overrightarrow{O P}=5 \mathbf{b}-3 \mathbf{a}-(\text { "b }-4 \mathbf{a} \text { " })+\lambda(4 \mathbf{b}-\mathbf{a}) \text { or }
\overrightarrow{O P}=5 \mathbf{b}-3 \mathbf{a}-\frac{3}{4}\left(\text { "b }-4 \mathbf{a}^{\prime \prime}\right)+n\left(" \frac{17}{4} \mathbf{b}^{\prime \prime}\right) \text { or }
\overrightarrow{O P}=" \frac{17}{4} \mathbf{b}^{\prime \prime}+n \times \frac{17}{4} \mathbf{b}^{\prime \prime} \text { or } \overrightarrow{O P}=n \times{ }^{\prime \prime} \frac{17}{4} \mathbf{b}^{\prime \prime} \text { oe or }
\overrightarrow{A P}=x(4 \mathbf{b}-\mathbf{a}) \text { or } \overrightarrow{A P}=-2 \mathbf{a}+n \times " \frac{17}{4} \mathbf{b}^{\prime \prime} \text { oe or }
\overrightarrow{B P}=y(4 \mathbf{b}-\mathbf{a}) \text { or } \overrightarrow{B P}=\frac{1}{4}\left(" \mathbf{b}-4 \mathbf{a}^{\prime \prime}\right)+n \times " \frac{17}{4} \mathbf{b}^{\prime \prime} \text { oe }
\end{aligned} eg O P = 2 a + 4 b − a + x ( 4 b − a ) or O P = 2 a + y ( 4 b − a ) or O P = 5 b − 3 a − ( "b − 4 a " ) + λ ( 4 b − a ) or O P = 5 b − 3 a − 4 3 ( "b − 4 a ′′ ) + n ( " 4 17 b ′′ ) or O P = " 4 17 b ′′ + n × 4 17 b ′′ or O P = n × ′′ 4 17 b ′′ oe or A P = x ( 4 b − a ) or A P = − 2 a + n × " 4 17 b ′′ oe or B P = y ( 4 b − a ) or B P = 4 1 ( " b − 4 a ′′ ) + n × " 4 17 b ′′ oe O P → \overrightarrow{O P} O P O P → \overrightarrow{O P} O P A P → , B P → , C P → \overrightarrow{A P}, \overrightarrow{B P}, \overrightarrow{C P} A P , B P , C P D P → \overrightarrow{D P} D P O P → = 2 a + 4 b − a + x ( 4 b − a ) \overrightarrow{O P}=2 \mathbf{a}+4 \mathbf{b}-\mathbf{a}+x(4 \mathbf{b}-\mathbf{a}) O P = 2 a + 4 b − a + x ( 4 b − a ) O P → = n × ′ ′ 17 4 b ′ ′ \overrightarrow{O P}=n \times{ }^{\prime \prime} \frac{17}{4} \mathbf{b}^{\prime \prime} O P = n × ′′ 4 17 b ′′ O P → = 2 a + y ( 4 b − a ) \overrightarrow{O P}=2 \mathbf{a}+y(4 \mathbf{b}-\mathbf{a}) O P = 2 a + y ( 4 b − a ) O P → = 5 b − 3 a − 3 4 ( "b − 4 a " ) + n ( " 17 4 b " ) or \overrightarrow{O P}=5 \mathbf{b}-3 \mathbf{a}-\frac{3}{4}(\text { "b }-4 \mathbf{a} \text { " })+n\left(\text { " } \frac{17}{4} \mathbf{b} \text { " }\right) \text { or } O P = 5 b − 3 a − 4 3 ( "b − 4 a " ) + n ( " 4 17 b " ) or A P → = x ( 4 b − a ) \overrightarrow{A P}=x(4 \mathbf{b}-\mathbf{a}) A P = x ( 4 b − a ) A P → = − 2 a + n × ′ ′ 17 4 b ′ ′ \overrightarrow{A P}=-2 \mathbf{a}+n \times{ }^{\prime \prime} \frac{17}{4} \mathbf{b}^{\prime \prime} A P = − 2 a + n × ′′ 4 17 b ′′ B P → = y ( 4 b − a ) \overrightarrow{B P}=y(4 \mathbf{b}-\mathbf{a}) B P = y ( 4 b − a ) B P → = 1 4 ( ′ ′ b − 4 a ′ ′ ) + n × ′ ′ 17 4 b ′ ′ \overrightarrow{B P}=\frac{1}{4}\left({ }^{\prime \prime} \mathbf{b}-4 \mathbf{a}^{\prime \prime}\right)+n \times{ }^{\prime \prime} \frac{17}{4} \mathbf{b}^{\prime \prime} B P = 4 1 ( ′′ b − 4 a ′′ ) + n × ′′ 4 17 b ′′ O P → \overrightarrow{O P} O P A P → \overrightarrow{A P} A P B P → \overrightarrow{B P} B P C P → \overrightarrow{C P} C P D P → \overrightarrow{D P} D P n ′ ′ 17 4 b ′ ′ n^{\prime \prime} \frac{17}{4} \mathbf{b}^{\prime \prime} n ′′ 4 17 b ′′ 32 17 \frac{32}{17} 17 32
