Question

3 Jiguull A line segment with the end points: A[1, 1, 0] and B[6, 2, O] lying in the xy-plane. Rotating the line about the x-

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Answer #1

Ans option d(6,1.732,1)

Explanation

The parametric equation can be written as

x=1+(6-1)*t =1+5t

y=1+(2-1)*t =1+t

z=0

now rotation about x axis about 30 degrees is given as

[1+5t 1 + t 0 1][1 0 0 0;0 cos30 sin30 0;0 -sin30 cos30 0;0 0 0 1] (Homogeneous transformation matrix about x axis)

=[1+5t (1+t)cos30 (1+t)sin30 1]

at t=1 gives

[6 1.732 1 1 ]

thus x,z is given as (6,1.732,1) Ans

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