Question

A=(_3 2),b (4 _6),c=(5 _10)​

Answer 1

First we find x of p:

$x = 2 \times ( - 3) - \frac{1}{2} \times 4 + \frac{2}{5} \times 5 \\ = - 6 - 2 + 2 = - 6$

then we find y of p:

$y = 2 \times 2 - \frac{1}{2} \times ( - 6) - \frac{2}{5} \times ( - 10) \\ = 4 + 3 + 4 = 11$

so

$p = \binom{ - 6}{11}$

and

$|p| = \sqrt{ {( - 6)}^{2} + {11}^{2} } \\ = \sqrt{36 + 121} = \sqrt{157} = 12.53$