Vector perpendicular

Find the vector a = (2, y, z) so that a⊥ b and a ⊥ c where b = (-1, 4, 2) and c = (3, -3, -1)

Final Answer:

y =  5
z =  -9

Step-by-step explanation:

a = (2, y, z)  b = (1, 4, 2)  c = (3, 3, 1)  a.b=0 a.c=0  2 (1)+y 4+z 2=0 2 3+y (3)+z (1)=0  4y+2z=2 3y+z=6  Row243 Row1Row2 0.5z=4.5  z=0.54.5=9 y=422z=422 (9)=5  y=5 z=9  y=5
z=(9)=9



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