Home Maths Vector Algebra Line Find the equation of the two lines through t…
Maths Vector Algebra Line Subjective Type
Published on: August 13, 2026

Find the equation of the two lines through the origin which intersect the line = = at an angle of π /3.

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The correct answer is:
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= = , = =

Sol.

Any point on the given line is (2r + 3, r + 3, r)

Dr’s of new line are ≡ 2r + 3, r + 3, r

cos

Solving above we get r = – 1, – 2

Dr’s are 1, 2, – 1 or – 1, 1, – 2

equation of the line is or

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