Paragraph: Consider two lines whose direction ratios are (2,-1,2) and (k, 3,5) . They are inclined at an angle 4 . Question: What are the direction ratios of a line which is perpendicular to both the lines?

Step-by-step solution

Line perpendicular to both lines will be obtained by cross product of both = | array ccc i & j & k 2 & -1 & 2 4 & 3 & 5 array |=-11 i -2 j +10 k Direction Ratio : (-11,-2,10) or (11,2,-10) .