Answer :

Given,


• Direction Ratios of Line1 are proportional to (1,-2,1)


• Direction Ratios of Line2 are proportional to (4,3,2)


So we can say that,


Direction ratios of line1


a1 = 1 × k , b1 = (-2) × k and c1 = 1 × k


a1 = k , b1 = -2k and c1 = k


Direction ratios of line2


a2 = 4 × p , b2 = 3 × p and c2 = 2 × p


a2 = 4p , b2 = 3p and c2 = 2p


Now, the angle between the lines with direction ratios a1, b1, c1 and a2, b2, c2 is given by



By using this formula,





cos θ = 0


θ = 90°


The angle between the lines is 90°.


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