Mathematics

Mathematics

Problem

Given four points

A(2, 1, 0)

,

B(1, 0, 1)

,

C(3, 0, 1)

and

D(0, 0, 2)

. Point

D

lies on a line

L

orthogonal to the plane determined by the points

A, B

and

C

. The equation of the line

L

is a.

\mathbf{r} = 2\hat{k} + \lambda(\hat{i} + \hat{k})

b.

\mathbf{r} = 2\hat{k} + \lambda(2\hat{j} + \hat{k})

c.

\mathbf{r} = 2\hat{k} + \lambda(\hat{j} + \hat{k})

d. None of the above

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