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Find the angles between the lines (x-2)/2=(y-1)/5=(z+3)/-3and(x+2)/-1=(y-4)/8=(z-5)/4

Answer»


ANSWER :The direction RATIOS of the two lines are respectively 2, 5, -3 and -1, 8, 4
`therefore costheta=(a_1a_2+b_1b_2+c_1c_2)/(sqrt(a_1^2+b_1^2+c_1^2)sqrt(a_2^2+b_2^2+c_2^2)) = (2xx(1)+5xx8+(-3)xx4)/(sqrt(4+25+9)sqrt(1+64+16)) = (-2+40-12)/(sqrt38sqrt81) = (26)/(9sqrt36)rArrtheta = cos^(-)(26/(9sqrt38))`


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