Given four points ,

MATHEMATICS · Single correct · CBSE · Mathematics · Vector Algebra · Vector Algebra

Problem

Given four points A(2,1,0)A(2, 1, 0), B(1,0,1)B(1, 0, 1), C(3,0,1)C(3, 0, 1) and D(0,0,2)D(0, 0, 2). Point DD lies on a line LL orthogonal to the plane determined by the points A,BA, B and CC. The equation of the line LL is (1) r=2k^+λ(i^+k^)\mathbf{r} = 2\hat{k} + \lambda(\hat{i} + \hat{k}) (2) r=2k^+λ(2j^+k^)\mathbf{r} = 2\hat{k} + \lambda(2\hat{j} + \hat{k}) (3) r=2k^+λ(j^+k^)\mathbf{r} = 2\hat{k} + \lambda(\hat{j} + \hat{k}) (4) None of the above

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