Question

If A=(1,2,3) , B(2,10,1), Q are collinear points and Qx=-1 then Qz=

Answer 1

$\mathrm{Q}_{\mathrm{z}}$ will be equal to 7

Step-by-step explanation:

To get the answer, let's understand the direction ratios of the line AB which will be

$(2-1):(10-2):(1-3)=1: 8:-2$

Hence, any point Q which lies on the line AB can be written in the form

$(1+k, 2+8 k, 3-2 k)$

where k is a real number.

$Q_{x}=-1$

So,

$1+\mathrm{k}=-1$

From this, we get

$\mathrm{k}=-2$

Thus, the correct answer is

$\mathrm{Q}_{\mathrm{z}}=3-(2 \times(-2))=7$