Question: Could you please answer the question below using the method shown in the image Determine if [2,4,7], [-1,3,0] and [-1,13,7] are coplanar Test: det P=

Could you please answer the question below using the method shown in the image

Could you please answer the question below using the method shown inthe image Determine if [2,4,7], [-1,3,0] and [-1,13,7] are coplanar Test: det

Determine if [2,4,7], [-1,3,0] and [-1,13,7] are coplanar Test: det P= [1,13,7 V = [ 2, 41 7 ] [-1, 13, 7 ] = K[2.4,7 ] + 1-1,3,0 " = [1,3,0] = [2k, 4k, 71] + [-n, 30, 0] [-1, 13, 7 :[2k-n, 4K+30, 7k .: C -1= 2k-n 3 13= 4k+3n m = 3 n = 2 3 7: 7k Solve 2 eqns using Sub / elian .. check in feld def's solve (2 + 3 @ 13= 4k+3n Sub in (2) 8 7: 7 - / K= 1 13= 4(1) + 3n n= 3 Check to see if' kel # n = 3 Satisfies IS= - 1 RS= 2k-n 'S= RC = 2(1)- 3 = - .: K= 18 n=3 solve this system : p = 1v + 30 => piv iw are Coplanar

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