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The image of point P(x, y, z) with respect to line x/1 = (y – 1)/2 = (z – 2)/3 is P′ (1, 0, 7). Find the coordinates of point P.
Direction ratios of a vector parallel to line (x–1)/2 = – y = (2z+1)/6 are :
Find the equation of the line which bisects the line segment joining points A(2, 3, 4) and B(4, 5, 8) and is perpendicular to the lines (x–8)/3 = (y+19)/(–16) = (z–10)/7 and (x–15)/3 = (y–29)/8 = (z–5)/(–5).
Find the equation of the line passing through the point of intersection of the lines x/1 = (y – 1)/2 = (z – 2)/3 and (x – 1)/0 = y/(– 3) = (z – 7)/2 and perpendicular to these given lines.
The angle which the line x/1 = y/−1 = z/0 makes with the positive direction of Y-axis is :
The Cartesian equation of the line passing through the point (1, −3, 2) and parallel to the line r⃗ = (2 + λ)î + λĵ + (2λ − 1)k̂ is :
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