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Direction ratios of a vector parallel to line (x–1)/2 = – y = (2z+1)/6 are :
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 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 :
Find the co-ordinates of the foot of the perpendicular drawn from the point (2, 3, −8) to the line (4 − x)/2 = y/6 = (1 − z)/3. Also, find the perpendicular distance of the given point from the line.
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