For the vector v = 25 i + 10 j + 20 k, perform a translation by a distance of 8 in the x-direction, 5 in the y-direction and 0 in the z-direction. The translated vector Hv will be

This question was previously asked in
ESE Mechanical 2020 Official Paper
View all UPSC IES Papers >

Answer (Detailed Solution Below)

Option 2 :
Free
ST 1: UPSC ESE (IES) Civil - Building Materials
20 Qs. 40 Marks 24 Mins

Detailed Solution

Download Solution PDF

Calculation:

The translated vector is given by

Hv = Homogeneous transformation matrix × homogeneous original vector

The homogeneous original vector is given by

 

The Homogeneous transformation matrix is given by

 

The translated vector will be

A = X B

⇒ A =  

Latest UPSC IES Updates

Last updated on May 28, 2025

->  UPSC ESE admit card 2025 for the prelims exam has been released. 

-> The UPSC IES Prelims 2025 will be held on 8th June 2025.

-> The selection process includes a Prelims and a Mains Examination, followed by a Personality Test/Interview.

-> Candidates should attempt the UPSC IES mock tests to increase their efficiency. The UPSC IES previous year papers can be downloaded here.

Hot Links: teen patti online game teen patti rich all teen patti master