QuestionTrova il vettore normale ai seguenti piani: 1) , 2) , 3) , 4) .
Studdy Solution
STEP 1
Question: What is the standard form of the equation of a plane?
A) Ax + By + Cz = D
B) Ax + By + C = D
C) A + Bx + Cy = D
D) Ax + By = Cz + D
Answer: A) Ax + By + Cz = D
STEP 2
Question: Given the equation of the plane x-y+5=0, what are the coefficients of x, y, and z?
A) 1, -1, 0
B) 1, -1, 5
C) x, y, 5
D) 1, -y, 0
Answer: A) 1, -1, 0
STEP 3
Question: What is the normal vector to the plane x-y+5=0?
A) (1, -1, 0)
B) (1, -1, 5)
C) (x, y, z)
D) (1, -y, 0)
Answer: A) (1, -1, 0)
STEP 4
Question: For the equation of the plane 2y-z+1=0, after rewriting it in the standard form, what are the coefficients of x, y, and z?
A) 0, 2, -1
B) 2, -1, 0
C) 1, 2, -1
D) 0, -1, 2
Answer: A) 0, 2, -1
STEP 5
Question: What is the normal vector to the plane 12x-y+7z+4=0?
A) (12, -1, 7)
B) (-1, 12, 7)
C) (12, 7, -1)
D) (4, -1, 7)
Answer: A) (12, -1, 7)
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