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+1 vote
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in 3D Coordinate Geometry by (51.1k points)

The position vector of the point on the line \(\vec r = \hat i + \lambda (\hat i + \hat j + \hat k)\) whose distance from \(\vec r - (\hat i + \hat j) (\hat i - \hat j - \hat k) = 1\) is \(\frac 1{\sqrt3}\) units is

(a) \(-\hat i - \hat j - 2\hat k\)

(b) \(\hat j\)

(c) \(2\hat i +\hat j+ \hat k\)

(d) \(3\hat i +2\hat j+ 2\hat k\)

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1 Answer

+1 vote
by (51.4k points)

Correct option is (c) \(2\hat i +\hat j+ \hat k\)

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