A) Find a vector parallel to the line of intersection of the planes given by the equations 2x−3y+5z=2 and 4x+y−3z=7.
B) Find the equation of the plane through the point (4,5,6)and perpendicular to the line of intersection of the planes in part A).

Answer :

Answer:

The vector parallel to the line of intersection of the planes given by the equations

2x−3y+5z=2 and 4x+y−3z=7

is (x, y, z) = (23/14, 3/7, 0)

Where z is a free variable.

(B) The equation of the plane through the point (4,5,6) and perpendicular to the line of intersection of the planes

2x−3y+5z=2 and 4x+y−3z=7

is 2x + 13y + 7z = 115

Step-by-step explanation:

The step-by-step explanation is shown in the attachment.

${teks-lihat-gambar} adamu4mohammed
${teks-lihat-gambar} adamu4mohammed

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