Question

Point p(3,4,5) is at a maximum distance from

Answer 1

Answer:

point p is at maximum distance from origin

Answer 2

Point p(3,4,5) is at a maximum distance from x - axis

Given:

• Point p(3,4,5)

To Find:

• point p is at maximum distance from which axis  ( complete Question)

Solution:

• Point on x axis is ( x , 0 , 0)
• point on y axis is ( 0 , y , 0)
• point on z axis is  (0 , 0 , z)

Step 1:

Calculate Distance of point Point p(3,4,5)  from x axis

√(x - 3)² + (0 - 4)² + (0 - 5)²

x = 3 for perpendicular distance

√(3 - 3)² + 16 + 25

= √41

Step 2:

Calculate Distance of point Point p(3,4,5)  from y axis

√(0 - 3)² + (y- 4)² + (0 - 5)²

y = 4 for perpendicular distance

= √34

Step 3:

Calculate Distance of point Point p(3,4,5)  from z axis

√(0 - 3)² + (0- 4)² + (z - 5)²

z = 5 for perpendicular distance

= √25

= 5

Maximum distance is √41 from x axis

Point p(3,4,5) is at a maximum distance from x - axis

(Although your Question is incomplete  but complete Question is Point p(3,4,5) is at a maximum distance from which axis)