Question

If a,b,c,d are the distance of a point from xaxis yaxis zaxis and origin then what is the relation between a,b,c,d

Answer 1

Given that

a,b,c,d are the distance of a point from x-axis, y-axis, z-axis and origin.

From given data, we have

⇒ a is the distance of Point from x-axis.

⇒ b is the distance of Point from y-axis.

⇒ c is the distance of Point from z-axis.

⇒ d is the distance of Point from Origin.

All the values belong to a single point.

The point lies in Space.

a is the x-coordinate, b is the y-coordinate & c is the z-coordinate of the Point.

d is the Resultant or Actual Distance of Point from origin.

The relation between a,b,c and d is simply this that they belong to a Single Point.

a, b , c are the direction ratios of a single point and d is the distance of this point from Origin.

Answer 2

Answer:

Step-by-step explanation:

Let P be the given point.

According to given data, the point P is

(a,b,c)

d=The distance of P from origin

$d=\sqrt{{({x_1}-{x_2})}^2+{({y_1}-{y_2})}^2+{({z_1}-{z_2})}^2}}$

$d=\sqrt{ {(a-0)}^2+{(b-0)}^2+{(c-0)}^2}$

$d=\sqrt{{a}^2+{b}^2+{c}^2}\\\\{d}^2={a}^2+{b}^2+{c}^2}$

This is the required relation