Question

Write parametric equation of line
having end points P1(9,5,3) and P2(2,3,2).*
O [9 5 3]+u[-7 -2 -1]
O [9 5 3]+u[7 2 1]
O [9 5 3]+u[-7 2 1]
O [9 5 3]+u[7 -2 1]​

Answer 1

Answer:

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Answer 2

Answer:

The parametric equation of the line having end points P1(9, 5, 3) and P2(2, 3, 2) is [9, 5, 3] + u[-7, -2, -1]

Explanation:

They have given that the parametric equation of line having end points P1(9, 5, 3) and P2(2, 3, 2)

Let's consider

(x1, y1, z1) = (9, 5, 3)

(x2, y2, z2) = (2, 3, 2)

The directional ratios are given by

= (x2 - x1, y2 - y1, z2 - z1)

= (2 - 9, 3 - 5, 2 - 3)

= (-7, -2, -1)

The parametric equation is given by

= [x1, y1, z1] + u[-7, -2, -1]

= [9, 5, 3] + u[-7, -2, -1]

Therefore the parametric equation of the line having end points

P1(9, 5, 3) and P2(2, 3, 2) is [9, 5, 3] + u[-7, -2, -1]