Question

What are the final coordinates after a translation of point P (10, 10, 10) into 3D space with translation factor T (10, 20, 5)?
Answer
A.(20, 30, 15) B.(20, 20, 25) C.(15, 30, 25) D.(15, 20, 25)

Answer 1

Given :  translation of point P (10, 10, 10) into 3D space with translation factor T (10, 20, 5)

To Find :   final coordinates after   translation

A.(20, 30, 15)

B.(20, 20, 25)

C.(15, 30, 25)

D.(15, 20, 25)

Solution:

translation of point P (10, 10, 10) into 3D space with translation factor T (10, 20, 5)  

final coordinates after   translation = ( 10 + 10 , 10 + 20 , 10 + 5)

= ( 20 , 30 , 15)

final coordinates after   translation (20, 30, 15)

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Answer 2

Explanation:

In mathematics, there are four main types of transformations. These are translation, rotation, reflection and dilation.

Now the problem given in question statement is related to first type that is translation. This type of rotation is also called linear transformation where the coordinates are simple added to get the final result.

Point P coordinates ( (10, 10, 10) when translated with a factor of (10, 20, 5) will result in;

New coordinates of P = ( 10+10, 10+20, 10+5)

New coordinates of P = ( 20, 30, 15)