Question

derive a formula for finding the distance between two points A(X1,Y1,Z1) and B(X2,Y2 ,Z3)and hence find the distance between the points P(2,3,1)and Q(-1,3,-5)​

Answer 1

We have to find the distance between:

Point P= (2,3,1)

Point Q= (-1,3,-5)

Step-by-step explanation:

We know the distance between two points is given by=

$\sqrt{(x1-x2)^{2}+( y1-y2)^{2} }$

Adding the z component to the equation we get,

$\sqrt{(x1-x2)^{2}+(y1-y2)^{2}+(z1-z2)^{2}}$

Using this formula to find the distance we get

PQ= $\sqrt{45}$ units