Ask
Login
1
16kviews
The pyramid defined by the coordinates A(0,0,0), B(1,0,0), C(0,1,0) and D(0,0,1) is rotated 45 deg about the line L that has the direction V = J + K and passing through point C(0,1,0).
written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k •   modified 2.3 years ago

Find the coordinates of the rotated figure.

Mumbai university > mechanical engineering > sem 7 > cad/cam/cae

Marks: 10M

Difficulty: Easy
cad cam cae
ADD COMMENT EDIT
1 Answer
1
1.3kviews
written 5.6 years ago by gravatar for teamques10 teamques10 ★ 65k

enter image description here

Step 1: Translating line (i.e Point C) to the origin O(0,0,0)

enter image description here

{tx = 0, ty = -1, tz =0}

Step 2: Aligning enter image description here with Positive z-axis

enter image description here

On comparing with V = ai + bj + ck ; a = 0, b =1, c =1

also enter image description here

and enter image description here

Now,

enter image description here

Step 3: Rotation of …

Create a free account to keep reading this post.

and 4 others joined a min ago.

ADD COMMENT EDIT
Please log in to add an answer.