If the points with position vectors ( i +10 j +13 k ) , (6 i +11 j +11 k ), ( 9 2 i + j -8 k ) are collinear then (19 -6 )^2=

Step-by-step solution

Since, ( i +10 j +13 k ),(b i +11 j +11 k ) and ( 9 2 i + j -8 k ) are collinear. So, -6 3 2 = -1 11- = 2 19 -6 6- 9 2 = 10-11 11- = 13-11 11-(-8) Now, -6= 3 19 and 22-2 =-19 =6+ 9 19 and 2 =19+22 aligned & =6+ 9 19 and 2 =19+22 & = 117 19 , and 6 =3 41=123 aligned aligned & 19 =117 and 6 =123 & So, (19 -6 )^2=(117-123)^2=(-6)^2=36 aligned