Find the angle between the following two lines: →r = 2î − 5ĵ + k̂ + λ(3î + 2ĵ + 6k̂); →r = 7î − 6k̂ + μ(î + 2ĵ + 2k̂)

Question

TextAngle Between Two Lines in Coordinate GeometryCBSE PYQ

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The position vectors of vertices of △ ABC are A(2î – ĵ + k̂), B(î – 3ĵ – 5k̂) and C(3î – 4ĵ – 4k̂). Find all the angles of △ ABC.

Find the angle between the lines (5 – x)/(–7) = (y + 2)/(–5) = z/1 and x/1 = y/2 = z/3.

TextAngle Between Two Lines in Coordinate Geometry

The value of λ for which the angle between the lines r→ = î + ĵ + k̂ + p(2î + ĵ + 2k̂) and r→ = (1 + q)î + (1 + qλ)ĵ + (1 + q)k̂ is π/2 is :

If the angle between the lines (x − 5)/α = (y + 2)/(−5) = (z + 24/5)/β and x/1 = y/0 = z/1 is π/4, find the relation between α and β.

Find the angle between the lines 2x = 3y = -z and 6x = -y = -4z.

The angle between the lines 2x = 3y = −z and 6x = −y = −4z is