Question

1.
Distance between two points (2,3,3) and (8,5,0) is:-
(1) 4 (2) 5 (3) 6 (4) 7​

Answer 1

Explanation:

D =√ (6² + 2² + 3² )= √(36 + 4 + 9) =√( 49 ) = 7m

d1 = 2i + 3j + 3k

d2 = 8i + 5j + 0k

D = d1 -d2 = -6i -2j +3k

magnitude of D = √( 6² + 2² + 3²) m

Answer 2

The correct option is (4) 7.

Given,

Two points (2,3,3) and (8,5,0)

To find,

Distance between two points (2,3,3) and (8,5,0)

Solution,

To find the distance between two points in three-dimensional space, we can use the following formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)

Where (x1, y1, z1) and (x2, y2, z2) are the coordinates of the two points.

Using this formula, we can find the distance between the points (2, 3, 3) and (8, 5, 0) as follows:

distance = sqrt((8 - 2)^2 + (5 - 3)^2 + (0 - 3)^2)

distance = sqrt(6^2 + 2^2 + (-3)^2)

distance = sqrt(36 + 4 + 9)

distance = sqrt(49)

distance = 7

Therefore, the distance between the points (2, 3, 3) and (8, 5, 0) is 7 units.

So, the correct answer is (4) 7.

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